Question

The elephant population of a nature preserve since 1990 is modeled by the exponential function f(x)=315⋅1.075x
. Find the elephant population in 1990 and the percentage at which the population increases each year.(1 point)

The elephant population in 1990 is 339, and the population increases by 7.5% each year.

The elephant population in 1990 is 315, and the population increases by 1.075% each year.

The elephant population in 1990 is 315, and the population increases by 7.5% each year.

The elephant population in 1990 is 315, and the population increases by 0.75% each year.

Answer 1

The correct choice is: The elephant population in 1990 is 315, and the population increases by 7.5% each year.

Reason: f(0)=315, and 1.075 = 1 + 0.075 → 0.075 = 7.5%.