he population of Toledo, Ohio was approximately 500,000 in 2000. Assume the population is increasing at a rate of 4% per year. (a) Write the exponential function in the form P(t) = a(b)* that relates the total population as a function of t. (Let t = 0 correspond to y P(t) = (b) Use part (a) to determine the rate at which the population is increasing int years. (Round your coefficients to the nearest integer.) P'(t) = (c) Use part (b) to determine the rate (in individuals per year) at which the population is increasing in 10 years. (Round your answer to |individuals per year

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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The population of Toledo, Ohio was approximately 500,000 in 2000. Assume the population is increasing at a rate of 4% per year.
(a) Write the exponential function in the form P(t) = a(b)* that relates the total population as a function of t. (Let t = 0 correspond to year 2000.)
P(t) =
(b) Use part (a) to determine the rate at which the population is increasing in t years. (Round your coefficients to the nearest integer.)
P'(t) =
(c) Use part (b) to determine the rate (in individuals per year) at which the population is increasing in 10 years. (Round your answer to the nearest integer.)
individuals per year
Transcribed Image Text:The population of Toledo, Ohio was approximately 500,000 in 2000. Assume the population is increasing at a rate of 4% per year. (a) Write the exponential function in the form P(t) = a(b)* that relates the total population as a function of t. (Let t = 0 correspond to year 2000.) P(t) = (b) Use part (a) to determine the rate at which the population is increasing in t years. (Round your coefficients to the nearest integer.) P'(t) = (c) Use part (b) to determine the rate (in individuals per year) at which the population is increasing in 10 years. (Round your answer to the nearest integer.) individuals per year
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