The population of Toledo, Ohio, in the year 2000 was approximately 460,000. Assume the population is...

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The population of Toledo, Ohio, in the year 2000 was approximately 460,000. Assume the population is increasing at a rate of 5.3 % 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 2019. Round to the nearest person per year. P'(19)= people per year The population of Toledo, Ohio, in the year 2000 was approximately 460,000. Assume the population is increasing at a rate of 5.3 % 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 2019. Round to the nearest person per year. P'(19)= people per year