Question

The current fox population in a protected region is 367 and is decreasing by 8% per year. Find the exponential function f(x) that represents the fox population, where x is the number of years from now. Estimate the fox population of the region 9 years from now.(1 point)

f(x)=367 ×0.92x
. The estimated fox population 9 years from now will be 173.

f(x)=367×0.98x
. The estimated fox population 9 years from now will be 3,039.

f(x)=367×1.08x
. The estimated fox population 9 years from now will be 734.

f(x)=367×0.98x
. The estimated fox population 9 years from now will be 306.

Answer 1

Decreasing by 8% per year gives multiplier 1 − 0.08 = 0.92, so
f(x) = 367(0.92)^x.

f(9) = 367(0.92^9) ≈ 367(0.472136) ≈ 173 foxes (about 173.3).