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State whether each percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole percent.

original: \(68

new: \)76

Short Answer

Expert verified

This is the percentage of the increase. The percent of change is 12%.

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=325×100=12%

03

Step 3. Find the percentage change

We are given that

Original: $68

New: $76

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=76−68=8%change=r,then876=r100r=876×100r=%change=0.1176×100%change=11.76≈12%

This is the percentage of the increase. Rounding answer off to the nearest whole number, Percent of change is 12%.

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