An initial population of 298 quail increases at an annual rate of 8%. Write an exponential function to model the quail population. What will the approximate population be after 3 years?(1 point) Responses f(x)=298(0.08)x; 153 f(x)=298(0.08)x; 153 f(x)=(298⋅1.08)x; 324 f(x)=(298⋅1.08)x; 324 f(x)=298(8)x; 305 f(x)=298(8)x; 305 f(x)=298(1.08)x; 375

1 answer

The correct exponential function to model the quail population is:

f(x) = 298(1.08)^x

To find the approximate population after 3 years, we plug in x = 3 into the function:

f(3) = 298(1.08)^3
f(3) = 298(1.2597)
f(3) ≈ 375

Therefore, the approximate population after 3 years will be 375 quails.