Let denote the size of a fish population measured in thousands of individual fish

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

Problem

Let

P(t)

denote the size of a fish population measured in thousands of individual fish. The population satisfies

\dfrac{dP}{dt}=0.12\,P\,(100-P)

. According to the model, what is the carrying capacity expressed in individual fish? (a)

12,000

(b)

100,000

(c)

833,333

(d)

100