In t years, the population of a certain city grows from 500,000 to a size P given by P(1) = 500000+7000t²

a) Find the growth rate,-

ap

b) Find the population after 10 yr.

c) Find the growth rate at t = 10.

d) Explain the meaning of the answer to part (c).

a)

dP

b) The population after 10 yr is

(Simplify your answer.)

c) The growth rate at t= 10 is

(Simplify your answer.)

d) What is the meaning of the answer to part (c)?

O A. The growth rate tells the average growth from time ( = 0 and ( = 10.

O B. The growth rate tells the rate at which the population is growing at time 1= 10- 1.

O C. The growth rate tells the difference between the rate of growth at the beginning of t = 0 and 1 = 10.

O D. The growth rate tells the rate at which the population is growing at time 1 = 10.