A colony of rabbits satisfies the differential equation

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

Problem

\dfrac{dy}{dt}=0.4\,y\left(1-\dfrac{y}{500}\right)

, where

t

is measured in days and

y(0)=50

. Approximately how many days will it take for the population to reach

400

rabbits? (a)

5\,\text{days}

(b)

9\,\text{days}

(c)

6\,\text{days}

(d)

8\,\text{days}