Question

The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is increasing at a rate of 4.6 % per year.

a. Write the exponential function that relates the total population, P (t), as a function of t, the number of years since 2000.

P(t) =

b. Use part a. to determine the rate at which the population is increasing in t years. Use exact expressions.

P '(t) = people per year

c. Use part b. to determine the rate at which the population is increasing in the year 2021. Round to the nearest person per year.

P '(21) = people per year

Answer 1

(a)

we are given

we can use formula

we can plug it

(b)

we can find derivative

(c)

now, we can plug t=21