Population The population in a certain city was800,000 in 2003, and its future size is predicted to beP = 800,000e-0.020tpeople, where t is the number ofyears after 2003.a. Does this model indicate that the population isincreasing or decreasing?b. Use this model to estimate the population of thecity in 2010.c. Use this model to predict the population of thecity in 2020.d. What is the average rate of change in populationbetween 2010 and 2020?
Population The population in a certain city was800,000 in 2003, and its future size is predicted to beP = 800,000e-0.020tpeople, where t is the number ofyears after 2003.a. Does this model indicate that the population isincreasing or decreasing?b. Use this model to estimate the population of thecity in 2010.c. Use this model to predict the population of thecity in 2020.d. What is the average rate of change in populationbetween 2010 and 2020?
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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Question
Population The population in a certain city was
800,000 in 2003, and its future size is predicted to be
P = 800,000e-0.020t
people, where t is the number of
years after 2003.
a. Does this model indicate that the population is
increasing or decreasing?
b. Use this model to estimate the population of the
city in 2010.
c. Use this model to predict the population of the
city in 2020.
d. What is the average rate of change in population
between 2010 and 2020?
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