A logistic growth model satisfies with

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

Problem

A logistic growth model satisfies

\dfrac{dy}{dt}=0.04\,y(80-y)

with

y(0)=20

. Without solving, which of the following best describes the behavior of

y

t=0

? (a)

y

is increasing and concave downward (b)

y

is decreasing and concave upward (c)

y

is increasing and concave upward (d)

y

is decreasing and concave downward