Wes has been tracking the population of a town. The population was 3,460 last year and has been increasing by 1.35 times each year. How can Wes develop a function to model this?

Last year the population was: 3,460.

This year: 3,460 * 1.35.

Next year : 3,460 * 1.35 * 1.35 = 3,460 * 1.35² ... etc ...

A function to model the growth of the population:

y = 3,460 * 1.35^x,

x - time in years.

Answer:

A) f (x) = 3460 (1.35) x where is 1.35 the rate of growth