Let be a population that satisfies for minutes with

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

Problem

Let

P(t)

be a population that satisfies

\dfrac{dP}{dt}=0.6P

for

0\le t\le15

minutes with

P(0)=100

. Which of the following expresses

P

as a function of

t

on this interval? (a)

P(t)=e^{0.6t}

(b)

P(t)=100e^{0.6t}

(c)

P(t)=100(0.6)^{t}

(d)

P(t)=100e^{-0.6t}