Algebra 1 : How to find the percent of increase

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #21 : Percent Of Change

Find the percent increase from  to

Possible Answers:

Correct answer:

Explanation:

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

.

In this problem, our "difference" is just .

Next, we place that difference over our original, , and then multiply against  in order to convert out answer to a percentage, resulting in about 

Example Question #22 : Percent Of Change

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

Possible Answers:

Correct answer:

Explanation:

To find the original value, use the following relation.

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

 

Example Question #23 : Percent Of Change

What is the percent change from  to  ? 

Possible Answers:

Correct answer:

Explanation:

To find the percent change we use the formula 

.

In this problem, we are asked to find the percent increase from  to .

So our formula will look like this: 

.

Thus, the percent increase from  to  is about 

Example Question #2811 : Algebra 1

What is the percent increase from  to ?

Possible Answers:

Correct answer:

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, .

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

.

Our original number here is , so our formula: 

 

This means that from  to , we had to add about  of  to  to get 

Example Question #25 : Percent Of Change

What is the percent of increase from  to ?

Possible Answers:

Correct answer:

Explanation:

To find the percent of increase from  to  we first must find the range between the numbers, 

.

Then we use this formula to find the percent increase: 

.

For this data given, 

Example Question #26 : Percent Of Change

Find the percent change.

The cost of a phone went from  to . What is the percent of change of the phone?

Possible Answers:

Correct answer:

Explanation:

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

Applying our values 

to the percent change formula we find,

                                    

Example Question #27 : Percent Of Change

Find the percent of increase from  to

Possible Answers:

Correct answer:

Explanation:

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

.

The numerator in this case would be 

.

So our formula would be 

.

It is a  increase from  to 

Example Question #28 : Percent Of Change

Find the percent increase from  to 

Possible Answers:

Correct answer:

Explanation:

To find the percent increase from  to , we first recognize that the formula needing to be used is 

.

The difference here is, 

,

meaning our formula will look like this: 

.

This, then, is our percent increase. 

Example Question #29 : Percent Of Change

Find the percent of increase from  to 

Possible Answers:

Correct answer:

Explanation:

For this type of problem we use this formula: 

.

"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: 

.

This our percent increase.

Example Question #29 : Percent Of Change

Find the percent of increase from  to 

Possible Answers:

Correct answer:

Explanation:

For this type of problem we use this formula: 

.

"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: 

.

This our percent increase.

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