In the equation $\displaystyle 16 m - 14 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & 67\\ \hline 10 & 148\\ \hline 11 & 165\\ \hline 17& 262\\ \hline \end{tabular}}$

$\displaystyle {16(5)+-14=67}$

$\displaystyle {80+-14=67}$

$\displaystyle {66\neq 67}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {16 m - 14 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 10 & 146\\ \hline 13 & 388\\ \hline 15 & 452\\ \hline 19& 580\\ \hline \end{tabular}}$

$\displaystyle {16(10)-14=146}$

$\displaystyle {160-14=146}$

$\displaystyle {146=146}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {16(13)-14=388}$

$\displaystyle {208-14=388}$

$\displaystyle {194\neq 388}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {16 m - 14 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 8 & 114\\ \hline 10 & 146\\ \hline 16 & 253\\ \hline 17& 268\\ \hline \end{tabular}}$

$\displaystyle {16(8)-14=114}$

$\displaystyle {128-14=114}$

$\displaystyle {114=114}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {16(10)-14=146}$

$\displaystyle {160-14=146}$

$\displaystyle {146=146}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {16(16)-14=253}$

$\displaystyle {256-14=253}$

$\displaystyle {242\neq 253}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {16 m - 14 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 2\\ \hline 11 & 162\\ \hline 16 & 242\\ \hline 17& 258\\ \hline \end{tabular}}$

$\displaystyle {16(1)-14=2}$

$\displaystyle {16-14=2}$

$\displaystyle {2=2}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {16(11)-14=162}$

$\displaystyle {176-14=162}$

$\displaystyle {162=162}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {16(16)-14=242}$

$\displaystyle {256-14=242}$

$\displaystyle {242=242}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {16(17)-14=258}$

$\displaystyle {272+-14=258}$

$\displaystyle {258=258}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 8 m + 2 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & 43\\ \hline 10 & 84\\ \hline 17 & 141\\ \hline 18& 150\\ \hline \end{tabular}}$

$\displaystyle {8(5)+2=43}$

$\displaystyle {40+2=43}$

$\displaystyle {42\neq 43}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {8 m + 2 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 2\\ \hline 5 & 84\\ \hline 9 & 148\\ \hline 14& 228\\ \hline \end{tabular}}$

$\displaystyle {8(0)+2=2}$

$\displaystyle {0+2=2}$

$\displaystyle {2=2}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {8(5)+2=84}$

$\displaystyle {40+2=84}$

$\displaystyle {42\neq 84}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {8 m + 2 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & 34\\ \hline 8 & 66\\ \hline 16 & 141\\ \hline 17& 138\\ \hline \end{tabular}}$

$\displaystyle {8(4)+2=34}$

$\displaystyle {32+2=34}$

$\displaystyle {34=34}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {8(8)+2=66}$

$\displaystyle {64+2=66}$

$\displaystyle {66=66}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {8(16)+2=141}$

$\displaystyle {128+2=141}$

$\displaystyle {130\neq 141}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {8 m + 2 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & 34\\ \hline 6 & 50\\ \hline 16 & 130\\ \hline 17& 138\\ \hline \end{tabular}}$

$\displaystyle {8(4)+2=34}$

$\displaystyle {32+2=34}$

$\displaystyle {34=34}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {8(6)+2=50}$

$\displaystyle {48+2=50}$

$\displaystyle {50=50}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {8(16)+2=130}$

$\displaystyle {128+2=130}$

$\displaystyle {130=130}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {8(17)+2=138}$

$\displaystyle {136+2=138}$

$\displaystyle {138=138}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 3 m - 9 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & -17\\ \hline 5 & -22\\ \hline 15 & -51\\ \hline 16& -53\\ \hline \end{tabular}}$

$\displaystyle {-3(3)+-9=-17}$

$\displaystyle {-9+-9=-17}$

$\displaystyle {-18\neq -17}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 3 m - 9 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & -21\\ \hline 8 & -66\\ \hline 12 & -90\\ \hline 15& -108\\ \hline \end{tabular}}$

$\displaystyle {-3(4)-9=-21}$

$\displaystyle {-12-9=-21}$

$\displaystyle {-21=-21}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-3(8)-9=-66}$

$\displaystyle {-24-9=-66}$

$\displaystyle {-33\neq -66}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 3 m - 9 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 8 & -33\\ \hline 10 & -39\\ \hline 15 & -43\\ \hline 19& -56\\ \hline \end{tabular}}$

$\displaystyle {-3(8)-9=-33}$

$\displaystyle {-24-9=-33}$

$\displaystyle {-33=-33}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-3(10)-9=-39}$

$\displaystyle {-30-9=-39}$

$\displaystyle {-39=-39}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-3(15)-9=-43}$

$\displaystyle {-45-9=-43}$

$\displaystyle {-54\neq -43}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 3 m - 9 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & -21\\ \hline 9 & -36\\ \hline 18 & -63\\ \hline 19& -66\\ \hline \end{tabular}}$

$\displaystyle {-3(4)-9=-21}$

$\displaystyle {-12-9=-21}$

$\displaystyle {-21=-21}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-3(9)-9=-36}$

$\displaystyle {-27-9=-36}$

$\displaystyle {-36=-36}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-3(18)-9=-63}$

$\displaystyle {-54-9=-63}$

$\displaystyle {-63=-63}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-3(19)-9=-66}$

$\displaystyle {-57+-9=-66}$

$\displaystyle {-66=-66}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 13 m - 19 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & 60\\ \hline 14 & 165\\ \hline 16 & 192\\ \hline 17& 206\\ \hline \end{tabular}}$

$\displaystyle {13(6)+-19=60}$

$\displaystyle {78+-19=60}$

$\displaystyle {59\neq 60}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {13 m - 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -6\\ \hline 10 & 222\\ \hline 12 & 274\\ \hline 17& 404\\ \hline \end{tabular}}$

$\displaystyle {13(1)-19=-6}$

$\displaystyle {13-19=-6}$

$\displaystyle {-6=-6}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {13(10)-19=222}$

$\displaystyle {130-19=222}$

$\displaystyle {111\neq 222}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {13 m - 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 20\\ \hline 8 & 85\\ \hline 10 & 122\\ \hline 13& 160\\ \hline \end{tabular}}$

$\displaystyle {13(3)-19=20}$

$\displaystyle {39-19=20}$

$\displaystyle {20=20}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {13(8)-19=85}$

$\displaystyle {104-19=85}$

$\displaystyle {85=85}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {13(10)-19=122}$

$\displaystyle {130-19=122}$

$\displaystyle {111\neq 122}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {13 m - 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 15 & 176\\ \hline 16 & 189\\ \hline 17 & 202\\ \hline 18& 215\\ \hline \end{tabular}}$

$\displaystyle {13(15)-19=176}$

$\displaystyle {195-19=176}$

$\displaystyle {176=176}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {13(16)-19=189}$

$\displaystyle {208-19=189}$

$\displaystyle {189=189}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {13(17)-19=202}$

$\displaystyle {221-19=202}$

$\displaystyle {202=202}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {13(18)-19=215}$

$\displaystyle {234+-19=215}$

$\displaystyle {215=215}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 17 m - 5 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -4\\ \hline 6 & 99\\ \hline 8 & 134\\ \hline 18& 305\\ \hline \end{tabular}}$

$\displaystyle {17(0)+-5=-4}$

$\displaystyle {0+-5=-4}$

$\displaystyle {-5\neq -4}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {17 m - 5 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & 80\\ \hline 8 & 262\\ \hline 9 & 296\\ \hline 18& 602\\ \hline \end{tabular}}$

$\displaystyle {17(5)-5=80}$

$\displaystyle {85-5=80}$

$\displaystyle {80=80}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {17(8)-5=262}$

$\displaystyle {136-5=262}$

$\displaystyle {131\neq 262}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {17 m - 5 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -5\\ \hline 4 & 63\\ \hline 9 & 159\\ \hline 13& 226\\ \hline \end{tabular}}$

$\displaystyle {17(0)-5=-5}$

$\displaystyle {0-5=-5}$

$\displaystyle {-5=-5}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {17(4)-5=63}$

$\displaystyle {68-5=63}$

$\displaystyle {63=63}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {17(9)-5=159}$

$\displaystyle {153-5=159}$

$\displaystyle {148\neq 159}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {17 m - 5 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 7 & 114\\ \hline 13 & 216\\ \hline 14 & 233\\ \hline 15& 250\\ \hline \end{tabular}}$

$\displaystyle {17(7)-5=114}$

$\displaystyle {119-5=114}$

$\displaystyle {114=114}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {17(13)-5=216}$

$\displaystyle {221-5=216}$

$\displaystyle {216=216}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {17(14)-5=233}$

$\displaystyle {238-5=233}$

$\displaystyle {233=233}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {17(15)-5=250}$

$\displaystyle {255+-5=250}$

$\displaystyle {250=250}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle m + 6 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & 12\\ \hline 6 & 14\\ \hline 7 & 16\\ \hline 18& 28\\ \hline \end{tabular}}$

$\displaystyle {1(5)+6=12}$

$\displaystyle {5+6=12}$

$\displaystyle {11\neq 12}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {m + 6 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & 15\\ \hline 11 & 34\\ \hline 14 & 40\\ \hline 16& 44\\ \hline \end{tabular}}$

$\displaystyle {1(9)+6=15}$

$\displaystyle {9+6=15}$

$\displaystyle {15=15}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(11)+6=34}$

$\displaystyle {11+6=34}$

$\displaystyle {17\neq 34}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {m + 6 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & 7\\ \hline 11 & 17\\ \hline 13 & 30\\ \hline 14& 20\\ \hline \end{tabular}}$

$\displaystyle {1(1)+6=7}$

$\displaystyle {1+6=7}$

$\displaystyle {7=7}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(11)+6=17}$

$\displaystyle {11+6=17}$

$\displaystyle {17=17}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(13)+6=30}$

$\displaystyle {13+6=30}$

$\displaystyle {19\neq 30}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {m + 6 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 6\\ \hline 5 & 11\\ \hline 16 & 22\\ \hline 17& 23\\ \hline \end{tabular}}$

$\displaystyle {1(0)+6=6}$

$\displaystyle {0+6=6}$

$\displaystyle {6=6}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(5)+6=11}$

$\displaystyle {5+6=11}$

$\displaystyle {11=11}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(16)+6=22}$

$\displaystyle {16+6=22}$

$\displaystyle {22=22}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {1(17)+6=23}$

$\displaystyle {17+6=23}$

$\displaystyle {23=23}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 2 m - 5 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 0\\ \hline 5 & 7\\ \hline 7 & 12\\ \hline 12& 23\\ \hline \end{tabular}}$

$\displaystyle {2(2)+-5=0}$

$\displaystyle {4+-5=0}$

$\displaystyle {-1\neq 0}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {2 m - 5 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & 13\\ \hline 14 & 46\\ \hline 16 & 54\\ \hline 19& 66\\ \hline \end{tabular}}$

$\displaystyle {2(9)-5=13}$

$\displaystyle {18-5=13}$

$\displaystyle {13=13}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(14)-5=46}$

$\displaystyle {28-5=46}$

$\displaystyle {23\neq 46}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {2 m - 5 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & 7\\ \hline 9 & 13\\ \hline 10 & 26\\ \hline 19& 43\\ \hline \end{tabular}}$

$\displaystyle {2(6)-5=7}$

$\displaystyle {12-5=7}$

$\displaystyle {7=7}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(9)-5=13}$

$\displaystyle {18-5=13}$

$\displaystyle {13=13}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(10)-5=26}$

$\displaystyle {20-5=26}$

$\displaystyle {15\neq 26}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {2 m - 5 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 8 & 11\\ \hline 11 & 17\\ \hline 12 & 19\\ \hline 15& 25\\ \hline \end{tabular}}$

$\displaystyle {2(8)-5=11}$

$\displaystyle {16-5=11}$

$\displaystyle {11=11}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(11)-5=17}$

$\displaystyle {22-5=17}$

$\displaystyle {17=17}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(12)-5=19}$

$\displaystyle {24-5=19}$

$\displaystyle {19=19}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {2(15)-5=25}$

$\displaystyle {30+-5=25}$

$\displaystyle {25=25}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 15 m - 19 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & 117\\ \hline 12 & 163\\ \hline 17 & 239\\ \hline 19& 270\\ \hline \end{tabular}}$

$\displaystyle {15(9)+-19=117}$

$\displaystyle {135+-19=117}$

$\displaystyle {116\neq 117}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {15 m - 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 11\\ \hline 7 & 172\\ \hline 8 & 202\\ \hline 19& 532\\ \hline \end{tabular}}$

$\displaystyle {15(2)-19=11}$

$\displaystyle {30-19=11}$

$\displaystyle {11=11}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(7)-19=172}$

$\displaystyle {105-19=172}$

$\displaystyle {86\neq 172}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {15 m - 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -19\\ \hline 5 & 56\\ \hline 13 & 187\\ \hline 14& 201\\ \hline \end{tabular}}$

$\displaystyle {15(0)-19=-19}$

$\displaystyle {0-19=-19}$

$\displaystyle {-19=-19}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(5)-19=56}$

$\displaystyle {75-19=56}$

$\displaystyle {56=56}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(13)-19=187}$

$\displaystyle {195-19=187}$

$\displaystyle {176\neq 187}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {15 m - 19 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 11\\ \hline 6 & 71\\ \hline 7 & 86\\ \hline 12& 161\\ \hline \end{tabular}}$

$\displaystyle {15(2)-19=11}$

$\displaystyle {30-19=11}$

$\displaystyle {11=11}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(6)-19=71}$

$\displaystyle {90-19=71}$

$\displaystyle {71=71}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(7)-19=86}$

$\displaystyle {105-19=86}$

$\displaystyle {86=86}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {15(12)-19=161}$

$\displaystyle {180+-19=161}$

$\displaystyle {161=161}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle 10 m + 7 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 38\\ \hline 11 & 119\\ \hline 15 & 160\\ \hline 18& 191\\ \hline \end{tabular}}$

$\displaystyle {10(3)+7=38}$

$\displaystyle {30+7=38}$

$\displaystyle {37\neq 38}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {10 m + 7 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & 97\\ \hline 16 & 334\\ \hline 18 & 374\\ \hline 19& 394\\ \hline \end{tabular}}$

$\displaystyle {10(9)+7=97}$

$\displaystyle {90+7=97}$

$\displaystyle {97=97}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {10(16)+7=334}$

$\displaystyle {160+7=334}$

$\displaystyle {167\neq 334}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {10 m + 7 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 10 & 107\\ \hline 17 & 177\\ \hline 18 & 198\\ \hline 19& 197\\ \hline \end{tabular}}$

$\displaystyle {10(10)+7=107}$

$\displaystyle {100+7=107}$

$\displaystyle {107=107}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {10(17)+7=177}$

$\displaystyle {170+7=177}$

$\displaystyle {177=177}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {10(18)+7=198}$

$\displaystyle {180+7=198}$

$\displaystyle {187\neq 198}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {10 m + 7 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 27\\ \hline 8 & 87\\ \hline 12 & 127\\ \hline 15& 157\\ \hline \end{tabular}}$

$\displaystyle {10(2)+7=27}$

$\displaystyle {20+7=27}$

$\displaystyle {27=27}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {10(8)+7=87}$

$\displaystyle {80+7=87}$

$\displaystyle {87=87}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {10(12)+7=127}$

$\displaystyle {120+7=127}$

$\displaystyle {127=127}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {10(15)+7=157}$

$\displaystyle {150+7=157}$

$\displaystyle {157=157}$

All of these values were correct for our equation; thus, this table is our correct answer.

In the equation $\displaystyle - 16 m - 17 = n$, $\displaystyle {m}$ is the independent variable and $\displaystyle {m}$ is the dependent variable. This means, as we manipulate $\displaystyle {m}$, $\displaystyle {n}$ will change.

Because we are given tables in our answer choices, we can plug in the given value for $\displaystyle {m}$ from the table and use our equation from the question to see if that equals the value given for $\displaystyle {n}$ in the table.

Let's start by testing values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & -96\\ \hline 6 & -111\\ \hline 12 & -206\\ \hline 15& -253\\ \hline \end{tabular}}$

$\displaystyle {-16(5)+-17=-96}$

$\displaystyle {-80+-17=-96}$

$\displaystyle {-97\neq -96}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 16 m - 17 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & -97\\ \hline 13 & -450\\ \hline 16 & -546\\ \hline 19& -642\\ \hline \end{tabular}}$

$\displaystyle {-16(5)-17=-97}$

$\displaystyle {-80-17=-97}$

$\displaystyle {-97=-97}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-16(13)-17=-450}$

$\displaystyle {-208-17=-450}$

$\displaystyle {-225\neq -450}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 16 m - 17 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 8 & -145\\ \hline 11 & -193\\ \hline 17 & -278\\ \hline 18& -295\\ \hline \end{tabular}}$

$\displaystyle {-16(8)-17=-145}$

$\displaystyle {-128-17=-145}$

$\displaystyle {-145=-145}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-16(11)-17=-193}$

$\displaystyle {-176-17=-193}$

$\displaystyle {-193=-193}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-16(17)-17=-278}$

$\displaystyle {-272-17=-278}$

$\displaystyle {-289\neq -278}$

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between $\displaystyle {m}$ and $\displaystyle {n}$ if $\displaystyle {- 16 m - 17 = n}$ ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -49\\ \hline 8 & -145\\ \hline 15 & -257\\ \hline 16& -273\\ \hline \end{tabular}}$

$\displaystyle {-16(2)-17=-49}$

$\displaystyle {-32-17=-49}$

$\displaystyle {-49=-49}$

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-16(8)-17=-145}$

$\displaystyle {-128-17=-145}$

$\displaystyle {-145=-145}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-16(15)-17=-257}$

$\displaystyle {-240-17=-257}$

$\displaystyle {-257=-257}$

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

$\displaystyle {-16(16)-17=-273}$

$\displaystyle {-256+-17=-273}$

$\displaystyle {-273=-273}$

All of these values were correct for our equation; thus, this table is our correct answer.