Write a function that represents the situation.

Question

A population of 210,000 increases by 12.5% each year.

Answer 1

P= 210,000(1+.125)^t

where P is the population and t is the number of years.

Answer 2

Whenever you see "12.5%" each year, you know it's a compounding function-- meaning that each year, that year's amount increases by 12.5%.

For example, after one year the population would be 236,250 and then that number would increase by 12.5% to get us to around 265,781.

This is illustrated by the initial amount times 112.5% to the x power, with x representing the years that have passed.

Or: 210,000(1.125)^x