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Algebra 1 : Percent of Change

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Example Question #61 : How To Find The Percent Of Increase

Find the percent increase from to .

Possible Answers:

$\approx 32\%$

$\approx 22\%$

$\approx 12\%$

$\approx 52\%$

Correct answer:

$\approx 22\%$

Explanation:

For this type of problem we use this formula: $\frac{difference}{original} \times 100$ . "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 ____ to ____. In this problem our formula will be filled in as follows: $\frac{28-23}{23}\times 100 = \frac {5}{23}\times 100 \approx 22\%$ . This is our percent increase.

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Example Question #62 : How To Find The Percent Of Increase

Find the percent increase from to

Possible Answers:

$75\%$

$35\%$

$64\%$

$87\%$

Correct answer:

$75\%$

Explanation:

For this type of problem we use this formula: $\frac{difference}{original} \times 100$ . "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 ____ to ____. In this problem our formula will be filled in as follows: $\frac{35-20}{20}\times 100 = \frac {15}{20}\times 100 = 75\%$ . This is our percent increase.

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Example Question #63 : How To Find The Percent Of Increase

Find the percent increase from to .

Possible Answers:

$13\%$

$24\%$

$15\%$

$135\%$

Correct answer:

$15\%$

Explanation:

For this type of problem we use this formula: $\frac{difference}{original} \times 100$ . "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 ____ to ____. In this problem our formula will be filled in as follows: $\frac{23-20}{20}\times 100 = \frac {3}{20}\times 100 = 15\%$ . This is our percent increase.

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Example Question #64 : How To Find The Percent Of Increase

Find the percent increase from to 21.5 .

Possible Answers:

$7.5\%$

$4.5\%$

$6.5\%$

$8.5\%$

Correct answer:

$7.5\%$

Explanation:

For this type of problem we use this formula: $\frac{difference}{original} \times 100$ . "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 ____ to ____. In this problem our formula will be filled in as follows: $\frac{21.5-20}{20}\times 100 = \frac {1.5}{20}\times 100 = 7.5\%$ . This is our percent increase.

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Example Question #65 : How To Find The Percent Of Increase

From 2014 to 2015, the price of a popular pair of sneakers rose from $\$90$ to $\$103$ . What is the percent increase in the price of the sneakers? Please round your final percentage answer to one decimal place.

Possible Answers:

$12.6\%$

$21.4\%$

$15.1\%$

$17.2\%$

$14.4\%$

Correct answer:

$14.4\%$

Explanation:

To find the percent increase, follow these steps:

First, find the difference between the two values given:

$\$103 - \$90 = \$13$

Next, divide the difference in values by the original value:

$\$13 \div \$90 = .144$

Finally, multiply this decimal by one-hundred to find its percentage equivalent:

$.144 \times 100 = 14.4\%$

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Example Question #61 : How To Find The Percent Of Increase

You have a resting heart heart rate of 60 BPM. After 5 minutes of exercise your heart rate has increased by 85%. What is your heart rate at this time?

Possible Answers:

95 BPM

111 BPM

None of these answers.

140 BPM

123 BPM

Correct answer:

111 BPM

Explanation:

If your resting heart rate is 60 BPM and your heart rate increased by 85%, then your heart rate has increased by 85% of 60. Percentages are all relative. 85% means nothing unless it is 85% of something. The total heart rate then would be the sum of 60 and 85% of 60.

Find how much 85% of 60 is:

.85*60=51

Add the increase to the resting heart rate:

$60+51=111 \hspace{1mm}BPM$

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Example Question #62 : How To Find The Percent Of Increase

Find the percent increase in price if the original cost of an item was $20 and the final cost was $36.

Possible Answers:

$80\%$

$17\%$

$72\%$

$27\%$

$180\%$

Correct answer:

$80\%$

Explanation:

To find the percent of increase, use the following formula:

$percent\;change=\frac{new-old}{old}$

$percent\;change=\frac{36-20}{20}=\frac{16}{20}=\frac{4}{5}=0.8$

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Example Question #68 : How To Find The Percent Of Increase

If a major league baseball player buys a baseball bat for $\$115$ and puts his autograph on it, its price goes up to $\$225$ . What is the increase in price expressed as a percent change? Round to the nearest percent.

Possible Answers:

$97\%$

$98\%$

$94\%$

$95\%$

$96\%$

Correct answer:

$96\%$

Explanation:

To find a percent change you need to find the increase or decrease amount and divide it by the original amount.

Original price was $\$115$

New price is $\$225$

Amount of increase was $\$110$

110 / 115 = .95652174

Multiply that by 100 to get it to a percent.

95.65

Round it to the nearest percent would make it $96\%$

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Example Question #62 : How To Find The Percent Of Increase

Avian Influenza has resulted in egg prices worldwide and locally to skyrocket. In April, eggs were $\$2.09$ at the supermarket and by May their price tag had swelled to $\$3.58$ . What is the percent increase in the price of a dozen of eggs from April to May?

Possible Answers:

$82\%$

$42\%$

$58\%$

$71\%$

$78\%$

Correct answer:

$71\%$

Explanation:

To find the percent increase of a dozen of eggs, we first must find the price difference between the April and May prices:

$\$3.58-\$2.09=\$1.49$

The next step is to divide the difference in price by the original price for eggs. When multiplied by $100\%$ , we are given our percent increase:

$\frac{\$1.49}{\$2.09}\cdot100\%$

$0.71\cdot100\%=71\%$

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Example Question #70 : How To Find The Percent Of Increase

What is the percent increase from to ?

Possible Answers:

$20\%$

$30\%$

$40\%$

$60\%$

Correct answer:

$30\%$

Explanation:

For this type of problem we use this formula:

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

"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 ____ to ____. In this problem our formula will be filled in as follows:

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

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 #61 : How To Find The Percent Of Increase

Example Question #62 : How To Find The Percent Of Increase

Example Question #63 : How To Find The Percent Of Increase

Example Question #64 : How To Find The Percent Of Increase

Example Question #65 : How To Find The Percent Of Increase

Example Question #61 : How To Find The Percent Of Increase

Example Question #62 : How To Find The Percent Of Increase

Example Question #68 : How To Find The Percent Of Increase

Example Question #62 : How To Find The Percent Of Increase

Example Question #70 : How To Find The Percent Of Increase

All Algebra 1 Resources

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