Question

Fatih Elmali
Let P(t) be the percentage of Americans under the age of 18 at time, t. The tables fives values of this function in census years from 1950 to 2000.

t__________P(t)_________P'(t)
1950 _____ 31.2_________?
1960 _____35.7__________?
1970______34.0_________?
1980______28.0__________?
1990______25.7__________?
2000______25.7__________?

a) what is the meaning of P'(t) and what are its units?

b) fill out the third column with estimates for P'(t).

c) Graph P and P'

d) how would it be possible to get more accurate values fpr P'(t).