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Algebra 1 : Percent of Change

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Example Question #21 : Percent Of Change

Find the percent increase from to .

Possible Answers:

$\small 39\%$

$\small 41\%$

$\small 40\%$

$\small 43\%$

$\small 23\%$

Correct answer:

$\small 41\%$

Explanation:

To find the percent of increase from one number to the next simply use this formula,

$\small \frac{difference}{original} \times100$ .

In this problem, our "difference" is just $\small 79-56 = 23$ .

Next, we place that difference over our original, $\small \frac{23}{56}$ , and then multiply against $\small 100$ in order to convert out answer to a percentage, resulting in about $\small 41.07\%$ , $\small \approx41\%$ .

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Example Question #22 : Percent Of Change

Mark's income over the past year has gone up $20\%$ . It is now $\$21$ per hour. What was his hourly income before the raise?

Possible Answers:

$\$14$

$\$18$

$\$16$

$\$17.50$

$\$12$

Correct answer:

$\$17.50$

Explanation:

To find the original value, use the following relation.

$\frac{new-old}{old}*100=percentage$

We know the percentage, and we know the new value, so we can solve for the old value.

$\frac{21-old}{old}=.2$

21-old=.2old

21=1.2old

$old=\frac{21}{1.2}=17.5$

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Example Question #23 : Percent Of Change

What is the percent change from $\small 239$ to $\small 489$ ?

Possible Answers:

$\small 97\%$

$\small \approx 104.6\%$

$\small 29\%$

$\small \approx96\%$

Correct answer:

$\small \approx 104.6\%$

Explanation:

To find the percent change we use the formula

$\small \frac{difference}{original} \times 100$ .

In this problem, we are asked to find the percent increase from $\small 239$ to $\small 489$ .

So our formula will look like this:

$\small \frac{250}{239} \times 100 = 104.6$ .

Thus, the percent increase from $\small 239$ to $\small 489$ is about $\small 104.6\%$ .

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Example Question #24 : Percent Of Change

What is the percent increase from $\small 389$ to $\small 589$ ?

Possible Answers:

$\small \approx 51\%$

$\small 2\%$

$\small \approx 91\%$

$\small \approx 71\%$

Correct answer:

$\small \approx 51\%$

Explanation:

To find the percent increase from one number to the next, the first step is to find the difference between the two numbers given, $\small 589-389 = 200$ .

The formula we use to solve this type of equation is:

$\small \frac{difference}{original} \times 100.$ .

Our original number here is $\small 389.$ , so our formula:

$\small \frac{200}{389}\times 100 \approx51.4\%.$

This means that from $\small 389$ to $\small 589$ , we had to add about $\small 51.4\%$ of $\small 389$ to $\small 389$ to get $\small 589.$

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Example Question #21 : Percent Of Change

What is the percent of increase from $\small 18982$ to $\small 21834$ ?

Possible Answers:

$\small \approx 19\%$

$\small \approx 17\%$

$\small \approx 15\%$

$\small \approx 25\%$

Correct answer:

$\small \approx 15\%$

Explanation:

To find the percent of increase from $\small 18982$ to $\small 21834$ we first must find the range between the numbers,

$\small 21834-18982 = 2852$ .

Then we use this formula to find the percent increase:

$\small \frac{difference}{original}\times 100$ .

For this data given,

$\small \small \frac{2852}{18982} \times 100 \approx 15\%$ .

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Example Question #26 : Percent Of Change

Find the percent change.

The cost of a phone went from $\$450$ to $\$399$ . What is the percent of change of the phone?

Possible Answers:

$12.78\%$

$25\%$

$11.33\%$

$88.67\%$

$188.67\%$

Correct answer:

$11.33\%$

Explanation:

To find the percent change of the phone we will need to use the following formula.

$percent\:of \: change=\left | \frac{new-old}{old}\right |\ast100$

Applying our values

$old=\$450$

$new=\$399$

to the percent change formula we find,

$percent\:of \: change=\left | \frac{399-450}{450}\right |\ast100=11.33\%$

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Example Question #27 : Percent Of Change

Find the percent of increase from to .

Possible Answers:

$\small 14\%$

$\small 37\%$

$\small 25\%$

$\small 35\%$

Correct answer:

$\small 25\%$

Explanation:

To find the percent of increase from one number to the next, this formula is used:

$\small \frac{difference}{original} \times 100$ .

The numerator in this case would be

$\small 15-12=3$ .

So our formula would be

$\small \frac{3}{12}\times 100 = 25\%$ .

It is a $\small 25\%$ increase from $\small 12$ to $\small 15.$

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Example Question #28 : Percent Of Change

Find the percent increase from $\small 100$ to $\small 124$ .

Possible Answers:

$\small 29\%$

$\small 24\%$

$\small 44\%$

$\small 94\%$

Correct answer:

$\small 24\%$

Explanation:

To find the percent increase from $\small 100$ to 124 , we first recognize that the formula needing to be used is

$\small \frac{difference}{original}\times100$ .

The difference here is,

$\small 124-100=24$ ,

meaning our formula will look like this:

$\small \frac{24}{100}\times 100 = 24\%$ .

This, then, is our percent increase.

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Example Question #29 : Percent Of Change

Find the percent of increase from $\small 10$ to $\small 13.$

Possible Answers:

$\small 90\%$

$\small 30\%$

$\small 35\%$

$\small 25\%$

Correct answer:

$\small 30\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ .

"Difference" is simply the difference between the two numbers given, and "original" is the number that is stated usually after the word "from" , example: from $\small #$ ____ to ____.

In this problem our formula will be filled in as follows:

$\small \frac{13-10}{10} \times 100 = \frac{3}{10}\times 100 =30\%$ .

This our percent increase.

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Example Question #30 : Percent Of Change

Find the percent of increase from $\small 26$ to $\small 35$ .

Possible Answers:

$\small \approx95\%$

$\small \approx35\%$

$\small \approx32\%$

$\small 45\%$

Correct answer:

$\small \approx35\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ .

"Difference" is simply the difference between the two numbers given, and "original" is the number that is stated usually after the word "from" , example: from $\small #$ ____ to ____.

In this problem our formula will be filled in as follows:

$\small \small \frac{35-26}{26} \times 100 = \frac{9}{26}\times 100 \approx35\%$ .

This our percent increase.

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Algebra 1 : Percent of Change

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #21 : Percent Of Change

Example Question #22 : Percent Of Change

Example Question #23 : Percent Of Change

Example Question #24 : Percent Of Change

Example Question #21 : Percent Of Change

Example Question #26 : Percent Of Change

Example Question #27 : Percent Of Change

Example Question #28 : Percent Of Change

Example Question #29 : Percent Of Change

Example Question #30 : Percent Of Change

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