Population The population in a certain city was53,000 in 2000, and its future size is predicted to beP(t) = 53,000e0.015tpeople, where t is the numberof years after 2000.a. Does this model indicate that the population isincreasing or decreasing?b. Use this function to estimate the population of thecity in 2005.c. Use this function to estimate the population of thecity in 2010.d. What is the average rate of growth between 2000and 2010?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 41E
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Population The population in a certain city was
53,000 in 2000, and its future size is predicted to be
P(t) = 53,000e0.015t
people, where t is the number
of years after 2000.
a. Does this model indicate that the population is
increasing or decreasing?
b. Use this function to estimate the population of the
city in 2005.
c. Use this function to estimate the population of the
city in 2010.
d. What is the average rate of growth between 2000
and 2010?

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