Question

I need this question answered asap! Thank you advance!!

The population in Rochester, New York, was 219,773 people in 2000 and 210,565 people in 2010. By about what percent did the population change? Did the population grow or shrink? Write the percent as a decimal.

Answer 1

Divide 219,773 by the difference in the population between 2000 & 2010 which is 9,208  = 23.86762%

Answer 2

The population changed by 4.19%. The population shrank.

0.0419.

Explanation:

We have been given that the population in Rochester, New York, was 219,773 people in 2000 and 210,565 people in 2010.

`\text{Percent change}=\frac{\text{Final}-\text{Initial}}{\text{Initial}}* 100`

`\text{Percent change}=(210,565-219,773)/(219,773)* 100`

`\text{Percent change}=(-9,208)/(219,773)* 100`

`\text{Percent change}=-0.04189777* 100`

`\text{Percent change}=-4.189777\%`

`\text{Percent change}\approx-4.19\%`

Therefore, the population changed by 4.19%.

Since the percent change is negative, therefore, the population decreased or shrank over the given period.

`4.19\%=(4.19)/(100)=0.0419`