Question

The number of people in pinellas county has been increasing at a rate of 1.3% per year.in 2016,there were 960,730 people. If x represents the number of years since 2016, which function could be used to model the number of people in the county? Here are the answer choices

A: f(x)=960,730(0.013)
B:f(x)=960,730
C: f(x)=960,730(1.013)
D: f(x)=960,730(1.3)

Answer 1

`f(x) = 960730(1.013)^(x)`

Explanation:

The number of people in Pinellas country has been changing at a rate of 1.3% per year.

If in the year 2016, there were 960,730 people in the country and if x represents the number of years since 2016, then the function that models the number of people in the country after x years since 2016 is

`f(x) = 960730(1 + (1.3)/(100))^(x)`

⇒
`f(x) = 960730(1 + 0.013)^(x)`

⇒
`f(x) = 960730(1.013)^(x)` (Answer)