Question

population data from three towns is displayed in the tables below. Which town has growth that follows an exponential model?

Answer 1

A. Roseville

Explanation:

The population growth that follows an exponential model will a common ratio between any two consecutive years.

The population of Roseville has a common ratio of
`(3)/(2)`.

`r =(243)/(162)=(162)/(108)=(108)/(72)=(3)/(2)`

We can therefore write an exponential function equation for this population which is

`f(x)=72((3)/(2))^(x-1)`

The other two population do not have a common ratio so they do not follow an exponential model.