A lake’s fish population follows a logistic model with carrying capacity fish

MATHEMATICS · Single correct · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A lake’s fish population follows a logistic model with carrying capacity L=1200L=1200 fish. The population is 200200 fish at t=0t=0 years and 400400 fish at t=3t=3 years. What is the approximate value of the growth–rate constant kk (in yr−1\text{yr}^{-1})? (a) 0.4580.458 (b) 0.2310.231 (c) 0.3050.305 (d) 0.1020.102

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