A fish population grows according to the model

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

P(t)=Ce^{kt}

, where

t

is measured in months. If

P(0)=500

and

P(3)=800

, which value is closest to the growth rate

k

(per month)? (a)

k\approx 0.470

(b)

k\approx 0.157

(c)

k\approx -0.157

(d)

k\approx 0.200