The logistic growth model Upper H left parenthesis t right parenthesis equals StartFraction 6000 Over 1 plus 4 e Superscript negative 0.51 t EndFraction

H(t)=60001+4e0.51t represents the number of families that own a home in a certain small(but growing) city t years after 1980

1980.

a right parenthesis

a)

What is the maximum number of families that will own a home in thiscity?

b right parenthesis

b)

How many families owned a home in 1980

1980?

c right parenthesis

c)

In what year did 4572

4572 families own ahome?