the population of centerville increases each year. the function c(t)=P(1+r)^t represents the population

of Centerville after t years, where P is the initial population, r is the growth rate, and t is the number of years.

For example, if the initial population of Centerville is 10,000, the growth rate is 0.02 (or 2% per year), and we want to find the population after 5 years, we would plug in the values into the formula:

c(5) = 10,000(1 + 0.02)^5
c(5) = 10,000(1.02)^5
c(5) = 10,000(1.10408)
c(5) ā‰ˆ 11,040.8

So, the population of Centerville after 5 years would be approximately 11,040.8.