The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is increasing at a rate of 5.4 % 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 2016. Round to the nearest person per year. P'(16) people per year

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is
increasing at a rate of 5.4 % 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 2016. Round to the
nearest person per year.
P'(16)
people per year
Transcribed Image Text:The population of Toledo, Ohio, in the year 2000 was approximately 490,000. Assume the population is increasing at a rate of 5.4 % 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 2016. Round to the nearest person per year. P'(16) people per year
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