Mathematics

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