Question

a town's population was 7500 at the beginning of the year 2000 and has been decreasing by 3.2 % each year thereafter.

Answer 1

In 2022, the town's population is 2220.

Explanation:

It currently the year 2022. Hence, 22 years have passed since 2000.

2022 − 2000 = 22

To solve for the town's population today, first multiply the years passed since 2000 by the percent decrease each year.

`22 \, \textrm{years} * \frac{3.2 \, \%}{\textrm{year}} = 70.4 \, \%`

Then, subtract that percent of the population in 2000 from the population in 2000.

`7500-(70.4 \,\% \cdot 7500)`

`= 7500 - 5280`

`=2220`