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The number of students at Franklin High School increased from 840 to 910 over a 5-year period. What was the percent of increase?

F 8.3%

G 14.0%

H 18.5%

J 92.3%

Short Answer

Expert verified

The percentage increase is 8.3%, Option F is the correct choice.

Step by step solution

01

Step 1. Use the definition of the percentage change.

The percent change is the increase or decrease in the value of a quantity. If the new value is larger than the original value then it is a percent increase and if the change in value is lesser than the original value it is called percentage decrease.

02

Step 2. Example of the percentage change.

For example, if a person has 25 dollars and he gets 3 more dollars and now has 28 dollars, its percentage increase is calculated as shown:

Increase=28-25=3%change=r,then325=r100r=325100=12%

03

Step 3. Find the percentage change.

We are given that

Original: 840

New: 910

This is a percent of increase because the new amount is more than the original.

We find the amount of change. And calculate the percentage change as follows:

Change=910840=70%change=r,then70840=r100r=70840100r=%change=0.0833100%change=8.3338.3%

Thus the percentage increase is 8.3%, and option F is the correct choice.

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