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 4 years?(1 point) Responses f(x)=298(0.8)x; 122 f(x)=298(0.8)x; 122 f(x)=298(0.92)x; 213 f(x)=298(0.92)x; 213 f(x)=298(1.08)x; 375 f(x)=298(1.08)x; 375 f(x)=298(1.08)x; 405
The correct exponential function to model the quail population would be f(x) = 298(1.08)^x.
To find the approximate population after 4 years, we substitute x = 4 into the function and evaluate:
f(4) = 298(1.08)^4
≈ 298(1.36049)
≈ 404.62802
Therefore, the approximate population after 4 years would be 405.