In the equation $\displaystyle 3 m - 13 = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -12\\ \hline 9 & 16\\ \hline 13 & 29\\ \hline 14& 33\\ \hline \end{tabular}}$

$\displaystyle {3(0)+-13=-12}$

$\displaystyle {0+-13=-12}$

$\displaystyle {-13\neq -12}$

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 $\displaystyle {3 m - 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -7\\ \hline 10 & 34\\ \hline 11 & 40\\ \hline 12& 46\\ \hline \end{tabular}}$

$\displaystyle {3(2)-13=-7}$

$\displaystyle {6-13=-7}$

$\displaystyle {-7=-7}$

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.

$\displaystyle {3(10)-13=34}$

$\displaystyle {30-13=34}$

$\displaystyle {17\neq 34}$

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 $\displaystyle {3 m - 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & 5\\ \hline 11 & 20\\ \hline 12 & 34\\ \hline 14& 39\\ \hline \end{tabular}}$

$\displaystyle {3(6)-13=5}$

$\displaystyle {18-13=5}$

$\displaystyle {5=5}$

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.

$\displaystyle {3(11)-13=20}$

$\displaystyle {33-13=20}$

$\displaystyle {20=20}$

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.

$\displaystyle {3(12)-13=34}$

$\displaystyle {36-13=34}$

$\displaystyle {23\neq 34}$

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 $\displaystyle {3 m - 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -13\\ \hline 6 & 5\\ \hline 12 & 23\\ \hline 19& 44\\ \hline \end{tabular}}$

$\displaystyle {3(0)-13=-13}$

$\displaystyle {0-13=-13}$

$\displaystyle {-13=-13}$

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.

$\displaystyle {3(6)-13=5}$

$\displaystyle {18-13=5}$

$\displaystyle {5=5}$

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.

$\displaystyle {3(12)-13=23}$

$\displaystyle {36-13=23}$

$\displaystyle {23=23}$

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.

$\displaystyle {3(19)-13=44}$

$\displaystyle {57+-13=44}$

$\displaystyle {44=44}$

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

In the equation $\displaystyle 18 m + 13 = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 68\\ \hline 8 & 159\\ \hline 14 & 268\\ \hline 19& 359\\ \hline \end{tabular}}$

$\displaystyle {18(3)+13=68}$

$\displaystyle {54+13=68}$

$\displaystyle {67\neq 68}$

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 $\displaystyle {18 m + 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & 85\\ \hline 12 & 458\\ \hline 17 & 638\\ \hline 19& 710\\ \hline \end{tabular}}$

$\displaystyle {18(4)+13=85}$

$\displaystyle {72+13=85}$

$\displaystyle {85=85}$

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.

$\displaystyle {18(12)+13=458}$

$\displaystyle {216+13=458}$

$\displaystyle {229\neq 458}$

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 $\displaystyle {18 m + 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 67\\ \hline 14 & 265\\ \hline 15 & 294\\ \hline 18& 337\\ \hline \end{tabular}}$

$\displaystyle {18(3)+13=67}$

$\displaystyle {54+13=67}$

$\displaystyle {67=67}$

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.

$\displaystyle {18(14)+13=265}$

$\displaystyle {252+13=265}$

$\displaystyle {265=265}$

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.

$\displaystyle {18(15)+13=294}$

$\displaystyle {270+13=294}$

$\displaystyle {283\neq 294}$

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 $\displaystyle {18 m + 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 3 & 67\\ \hline 7 & 139\\ \hline 14 & 265\\ \hline 18& 337\\ \hline \end{tabular}}$

$\displaystyle {18(3)+13=67}$

$\displaystyle {54+13=67}$

$\displaystyle {67=67}$

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.

$\displaystyle {18(7)+13=139}$

$\displaystyle {126+13=139}$

$\displaystyle {139=139}$

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.

$\displaystyle {18(14)+13=265}$

$\displaystyle {252+13=265}$

$\displaystyle {265=265}$

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.

$\displaystyle {18(18)+13=337}$

$\displaystyle {324+13=337}$

$\displaystyle {337=337}$

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

In the equation $\displaystyle - 5 m = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -4\\ \hline 3 & -13\\ \hline 8 & -37\\ \hline 13& -61\\ \hline \end{tabular}}$

$\displaystyle {-5(1)+0=-4}$

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

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

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 $\displaystyle {- 5 m = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -10\\ \hline 12 & -120\\ \hline 13 & -130\\ \hline 16& -160\\ \hline \end{tabular}}$

$\displaystyle {-5(2)+0=-10}$

$\displaystyle {-10+0=-10}$

$\displaystyle {-10=-10}$

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.

$\displaystyle {-5(12)+0=-120}$

$\displaystyle {-60+0=-120}$

$\displaystyle {-60\neq -120}$

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 $\displaystyle {- 5 m = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & -25\\ \hline 6 & -30\\ \hline 9 & -34\\ \hline 13& -65\\ \hline \end{tabular}}$

$\displaystyle {-5(5)+0=-25}$

$\displaystyle {-25+0=-25}$

$\displaystyle {-25=-25}$

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.

$\displaystyle {-5(6)+0=-30}$

$\displaystyle {-30+0=-30}$

$\displaystyle {-30=-30}$

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.

$\displaystyle {-5(9)+0=-34}$

$\displaystyle {-45+0=-34}$

$\displaystyle {-45\neq -34}$

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 $\displaystyle {- 5 m = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & -30\\ \hline 7 & -35\\ \hline 9 & -45\\ \hline 18& -90\\ \hline \end{tabular}}$

$\displaystyle {-5(6)+0=-30}$

$\displaystyle {-30+0=-30}$

$\displaystyle {-30=-30}$

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.

$\displaystyle {-5(7)+0=-35}$

$\displaystyle {-35+0=-35}$

$\displaystyle {-35=-35}$

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.

$\displaystyle {-5(9)+0=-45}$

$\displaystyle {-45+0=-45}$

$\displaystyle {-45=-45}$

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.

$\displaystyle {-5(18)+0=-90}$

$\displaystyle {-90+0=-90}$

$\displaystyle {-90=-90}$

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

In the equation $\displaystyle 2 m - 13 = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 4 & -4\\ \hline 7 & 3\\ \hline 8 & 6\\ \hline 12& 15\\ \hline \end{tabular}}$

$\displaystyle {2(4)+-13=-4}$

$\displaystyle {8+-13=-4}$

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

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 $\displaystyle {2 m - 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -13\\ \hline 6 & -2\\ \hline 9 & 10\\ \hline 13& 26\\ \hline \end{tabular}}$

$\displaystyle {2(0)-13=-13}$

$\displaystyle {0-13=-13}$

$\displaystyle {-13=-13}$

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.

$\displaystyle {2(6)-13=-2}$

$\displaystyle {12-13=-2}$

$\displaystyle {-1\neq -2}$

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 $\displaystyle {2 m - 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -11\\ \hline 3 & -7\\ \hline 5 & 8\\ \hline 12& 21\\ \hline \end{tabular}}$

$\displaystyle {2(1)-13=-11}$

$\displaystyle {2-13=-11}$

$\displaystyle {-11=-11}$

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.

$\displaystyle {2(3)-13=-7}$

$\displaystyle {6-13=-7}$

$\displaystyle {-7=-7}$

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.

$\displaystyle {2(5)-13=8}$

$\displaystyle {10-13=8}$

$\displaystyle {-3\neq 8}$

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 $\displaystyle {2 m - 13 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & -9\\ \hline 9 & 5\\ \hline 15 & 17\\ \hline 19& 25\\ \hline \end{tabular}}$

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

$\displaystyle {4-13=-9}$

$\displaystyle {-9=-9}$

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.

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

$\displaystyle {18-13=5}$

$\displaystyle {5=5}$

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.

$\displaystyle {2(15)-13=17}$

$\displaystyle {30-13=17}$

$\displaystyle {17=17}$

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.

$\displaystyle {2(19)-13=25}$

$\displaystyle {38+-13=25}$

$\displaystyle {25=25}$

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

In the equation $\displaystyle - 12 m - 1 = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -12\\ \hline 5 & -59\\ \hline 8 & -94\\ \hline 15& -177\\ \hline \end{tabular}}$

$\displaystyle {-12(1)+-1=-12}$

$\displaystyle {-12+-1=-12}$

$\displaystyle {-13\neq -12}$

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 $\displaystyle {- 12 m - 1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -13\\ \hline 4 & -98\\ \hline 6 & -146\\ \hline 10& -242\\ \hline \end{tabular}}$

$\displaystyle {-12(1)-1=-13}$

$\displaystyle {-12-1=-13}$

$\displaystyle {-13=-13}$

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.

$\displaystyle {-12(4)-1=-98}$

$\displaystyle {-48-1=-98}$

$\displaystyle {-49\neq -98}$

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 $\displaystyle {- 12 m - 1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -1\\ \hline 3 & -37\\ \hline 7 & -74\\ \hline 15& -171\\ \hline \end{tabular}}$

$\displaystyle {-12(0)-1=-1}$

$\displaystyle {0-1=-1}$

$\displaystyle {-1=-1}$

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.

$\displaystyle {-12(3)-1=-37}$

$\displaystyle {-36-1=-37}$

$\displaystyle {-37=-37}$

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.

$\displaystyle {-12(7)-1=-74}$

$\displaystyle {-84-1=-74}$

$\displaystyle {-85\neq -74}$

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 $\displaystyle {- 12 m - 1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 7 & -85\\ \hline 15 & -181\\ \hline 17 & -205\\ \hline 19& -229\\ \hline \end{tabular}}$

$\displaystyle {-12(7)-1=-85}$

$\displaystyle {-84-1=-85}$

$\displaystyle {-85=-85}$

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.

$\displaystyle {-12(15)-1=-181}$

$\displaystyle {-180-1=-181}$

$\displaystyle {-181=-181}$

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.

$\displaystyle {-12(17)-1=-205}$

$\displaystyle {-204-1=-205}$

$\displaystyle {-205=-205}$

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.

$\displaystyle {-12(19)-1=-229}$

$\displaystyle {-228+-1=-229}$

$\displaystyle {-229=-229}$

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

In the equation $\displaystyle - 18 m - 15 = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -14\\ \hline 7 & -139\\ \hline 12 & -228\\ \hline 14& -263\\ \hline \end{tabular}}$

$\displaystyle {-18(0)+-15=-14}$

$\displaystyle {0+-15=-14}$

$\displaystyle {-15\neq -14}$

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 $\displaystyle {- 18 m - 15 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -15\\ \hline 4 & -174\\ \hline 17 & -642\\ \hline 18& -678\\ \hline \end{tabular}}$

$\displaystyle {-18(0)-15=-15}$

$\displaystyle {0-15=-15}$

$\displaystyle {-15=-15}$

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.

$\displaystyle {-18(4)-15=-174}$

$\displaystyle {-72-15=-174}$

$\displaystyle {-87\neq -174}$

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 $\displaystyle {- 18 m - 15 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -15\\ \hline 6 & -123\\ \hline 8 & -148\\ \hline 12& -221\\ \hline \end{tabular}}$

$\displaystyle {-18(0)-15=-15}$

$\displaystyle {0-15=-15}$

$\displaystyle {-15=-15}$

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.

$\displaystyle {-18(6)-15=-123}$

$\displaystyle {-108-15=-123}$

$\displaystyle {-123=-123}$

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.

$\displaystyle {-18(8)-15=-148}$

$\displaystyle {-144-15=-148}$

$\displaystyle {-159\neq -148}$

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 $\displaystyle {- 18 m - 15 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & -105\\ \hline 12 & -231\\ \hline 16 & -303\\ \hline 18& -339\\ \hline \end{tabular}}$

$\displaystyle {-18(5)-15=-105}$

$\displaystyle {-90-15=-105}$

$\displaystyle {-105=-105}$

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.

$\displaystyle {-18(12)-15=-231}$

$\displaystyle {-216-15=-231}$

$\displaystyle {-231=-231}$

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.

$\displaystyle {-18(16)-15=-303}$

$\displaystyle {-288-15=-303}$

$\displaystyle {-303=-303}$

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.

$\displaystyle {-18(18)-15=-339}$

$\displaystyle {-324+-15=-339}$

$\displaystyle {-339=-339}$

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

In the equation $\displaystyle 16 m + 15 = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 9 & 160\\ \hline 13 & 225\\ \hline 14 & 242\\ \hline 16& 275\\ \hline \end{tabular}}$

$\displaystyle {16(9)+15=160}$

$\displaystyle {144+15=160}$

$\displaystyle {159\neq 160}$

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 $\displaystyle {16 m + 15 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 7 & 127\\ \hline 9 & 318\\ \hline 11 & 382\\ \hline 18& 606\\ \hline \end{tabular}}$

$\displaystyle {16(7)+15=127}$

$\displaystyle {112+15=127}$

$\displaystyle {127=127}$

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.

$\displaystyle {16(9)+15=318}$

$\displaystyle {144+15=318}$

$\displaystyle {159\neq 318}$

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 $\displaystyle {16 m + 15 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 15\\ \hline 2 & 47\\ \hline 3 & 74\\ \hline 11& 191\\ \hline \end{tabular}}$

$\displaystyle {16(0)+15=15}$

$\displaystyle {0+15=15}$

$\displaystyle {15=15}$

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.

$\displaystyle {16(2)+15=47}$

$\displaystyle {32+15=47}$

$\displaystyle {47=47}$

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.

$\displaystyle {16(3)+15=74}$

$\displaystyle {48+15=74}$

$\displaystyle {63\neq 74}$

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 $\displaystyle {16 m + 15 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & 15\\ \hline 3 & 63\\ \hline 7 & 127\\ \hline 18& 303\\ \hline \end{tabular}}$

$\displaystyle {16(0)+15=15}$

$\displaystyle {0+15=15}$

$\displaystyle {15=15}$

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.

$\displaystyle {16(3)+15=63}$

$\displaystyle {48+15=63}$

$\displaystyle {63=63}$

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.

$\displaystyle {16(7)+15=127}$

$\displaystyle {112+15=127}$

$\displaystyle {127=127}$

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.

$\displaystyle {16(18)+15=303}$

$\displaystyle {288+15=303}$

$\displaystyle {303=303}$

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

In the equation $\displaystyle -1 = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 11 & 0\\ \hline 16 & 1\\ \hline 17 & 2\\ \hline 19& 3\\ \hline \end{tabular}}$

$\displaystyle {0(11)+-1=0}$

$\displaystyle {0+-1=0}$

$\displaystyle {-1\neq 0}$

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 $\displaystyle {-1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 8 & -1\\ \hline 10 & -2\\ \hline 13 & -2\\ \hline 15& -2\\ \hline \end{tabular}}$

$\displaystyle {0(8)-1=-1}$

$\displaystyle {0-1=-1}$

$\displaystyle {-1=-1}$

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.

$\displaystyle {0(10)-1=-2}$

$\displaystyle {0-1=-2}$

$\displaystyle {-1\neq -2}$

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 $\displaystyle {-1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -1\\ \hline 11 & -1\\ \hline 14 & 10\\ \hline 15& 9\\ \hline \end{tabular}}$

$\displaystyle {0(1)-1=-1}$

$\displaystyle {0-1=-1}$

$\displaystyle {-1=-1}$

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.

$\displaystyle {0(11)-1=-1}$

$\displaystyle {0-1=-1}$

$\displaystyle {-1=-1}$

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.

$\displaystyle {0(14)-1=10}$

$\displaystyle {0-1=10}$

$\displaystyle {-1\neq 10}$

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 $\displaystyle {-1 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -1\\ \hline 7 & -1\\ \hline 10 & -1\\ \hline 13& -1\\ \hline \end{tabular}}$

$\displaystyle {0(0)-1=-1}$

$\displaystyle {0-1=-1}$

$\displaystyle {-1=-1}$

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.

$\displaystyle {0(7)-1=-1}$

$\displaystyle {0-1=-1}$

$\displaystyle {-1=-1}$

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.

$\displaystyle {0(10)-1=-1}$

$\displaystyle {0-1=-1}$

$\displaystyle {-1=-1}$

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.

$\displaystyle {0(13)-1=-1}$

$\displaystyle {0+-1=-1}$

$\displaystyle {-1=-1}$

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

In the equation $\displaystyle 9 m - 10 = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 0 & -9\\ \hline 2 & 10\\ \hline 3 & 20\\ \hline 15& 129\\ \hline \end{tabular}}$

$\displaystyle {9(0)+-10=-9}$

$\displaystyle {0+-10=-9}$

$\displaystyle {-10\neq -9}$

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 $\displaystyle {9 m - 10 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 8\\ \hline 9 & 142\\ \hline 12 & 196\\ \hline 18& 304\\ \hline \end{tabular}}$

$\displaystyle {9(2)-10=8}$

$\displaystyle {18-10=8}$

$\displaystyle {8=8}$

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.

$\displaystyle {9(9)-10=142}$

$\displaystyle {81-10=142}$

$\displaystyle {71\neq 142}$

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 $\displaystyle {9 m - 10 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 2 & 8\\ \hline 4 & 26\\ \hline 9 & 82\\ \hline 13& 117\\ \hline \end{tabular}}$

$\displaystyle {9(2)-10=8}$

$\displaystyle {18-10=8}$

$\displaystyle {8=8}$

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.

$\displaystyle {9(4)-10=26}$

$\displaystyle {36-10=26}$

$\displaystyle {26=26}$

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.

$\displaystyle {9(9)-10=82}$

$\displaystyle {81-10=82}$

$\displaystyle {71\neq 82}$

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 $\displaystyle {9 m - 10 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -1\\ \hline 4 & 26\\ \hline 5 & 35\\ \hline 15& 125\\ \hline \end{tabular}}$

$\displaystyle {9(1)-10=-1}$

$\displaystyle {9-10=-1}$

$\displaystyle {-1=-1}$

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.

$\displaystyle {9(4)-10=26}$

$\displaystyle {36-10=26}$

$\displaystyle {26=26}$

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.

$\displaystyle {9(5)-10=35}$

$\displaystyle {45-10=35}$

$\displaystyle {35=35}$

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.

$\displaystyle {9(15)-10=125}$

$\displaystyle {135+-10=125}$

$\displaystyle {125=125}$

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

In the equation $\displaystyle 9 m - 12 = n$, $\displaystyle {m}$ 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:

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 7 & 52\\ \hline 13 & 107\\ \hline 14 & 117\\ \hline 19& 163\\ \hline \end{tabular}}$

$\displaystyle {9(7)+-12=52}$

$\displaystyle {63+-12=52}$

$\displaystyle {51\neq 52}$

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 $\displaystyle {9 m - 12 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 5 & 33\\ \hline 6 & 84\\ \hline 11 & 174\\ \hline 15& 246\\ \hline \end{tabular}}$

$\displaystyle {9(5)-12=33}$

$\displaystyle {45-12=33}$

$\displaystyle {33=33}$

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.

$\displaystyle {9(6)-12=84}$

$\displaystyle {54-12=84}$

$\displaystyle {42\neq 84}$

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 $\displaystyle {9 m - 12 = n}$ ; thus, this answer choice is not correct and can be eliminated.

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 1 & -3\\ \hline 5 & 33\\ \hline 12 & 107\\ \hline 15& 133\\ \hline \end{tabular}}$

$\displaystyle {9(1)-12=-3}$

$\displaystyle {9-12=-3}$

$\displaystyle {-3=-3}$

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.

$\displaystyle {9(5)-12=33}$

$\displaystyle {45-12=33}$

$\displaystyle {33=33}$

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.

$\displaystyle {9(12)-12=107}$

$\displaystyle {108-12=107}$

$\displaystyle {96\neq 107}$

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 $\displaystyle {9 m - 12 = n}$ ; thus, this answer choice is not correct and can be eliminated.

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

$\displaystyle {\begin{tabular}{|c|c|}\hline m & n \\ \hline 6 & 42\\ \hline 8 & 60\\ \hline 14 & 114\\ \hline 19& 159\\ \hline \end{tabular}}$

$\displaystyle {9(6)-12=42}$

$\displaystyle {54-12=42}$

$\displaystyle {42=42}$

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.

$\displaystyle {9(8)-12=60}$

$\displaystyle {72-12=60}$

$\displaystyle {60=60}$

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.

$\displaystyle {9(14)-12=114}$

$\displaystyle {126-12=114}$

$\displaystyle {114=114}$

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.

$\displaystyle {9(19)-12=159}$

$\displaystyle {171+-12=159}$

$\displaystyle {159=159}$

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