Question

A. To the nearest hundredth of a percent, what is the percent of change from 2007 to 2013?

The percent of change is about a ____ increase.

b. Use this percent of change to predict the population in 2019.

The predicted population in 2019 is ___people.

Answer 1

Part A: The percent of change is about a 16.95% increase.

Part B: The predicted population in 2019 is 158,000 people.

Explanation:

Part A: Find the percent of change.

The percent of change =
`(Final- Initial)/(Initial) *100`

At 2007 ⇒ 118,000

At 2013 ⇒ 138,000

So, during 6 years, the change = 138,000 - 118,000 = 20,000

The percent of change =
`(138,000-118,000)/(118,000) *100= (20,000)/(118,000) *100=16.95 \%`

∴The percent of change is about a 16.95% increase.

Part B: Find the predicted population.

The percent of change from 2007 to 2013 is a 16.95% increase.

So, the percentage increase during 6 years is 16.95.

So, from 2013 to 2019 is another 6 years.

So, the percentage is predicted = 16.95%

∴ the same change of increasing is expected = 20,000

∴The predicted population in 2019 is = 138,000 + 20,000 = 158,000

The predicted population in 2019 is 158,000 people.