4. The town of Allen had a population of 32,000 in 2000, and has been growing at 2.2% per year. The town of Berry had a population of 45,500 in 2000, and a population of 49,000 in 2010. (a) Find an exponential model, A(t), for the population of Allen t years after 2000. (b) Find an exponential model, B(t), for the population of Berry t years after 2000. Show your work algebraically and check your answer using regression in Desmos. (c) When did the population of Allen reach 45.000?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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4. The town of Allen had a population of 32,000 in 2000, and has been growing at 2.2% per year. The town
of Berry had a population of 45,500 in 2000, and a population of 49,000 in 2010.
(a) Find an exponential model, A(t), for the population of Allen t years after 2000.
(b) Find an exponential model, B(t), for the population of Berry t years after 2000. Show your work
algebraically and check your answer using regression in Desmos.
(c) When did the population of Allen reach 45,000?
Transcribed Image Text:4. The town of Allen had a population of 32,000 in 2000, and has been growing at 2.2% per year. The town of Berry had a population of 45,500 in 2000, and a population of 49,000 in 2010. (a) Find an exponential model, A(t), for the population of Allen t years after 2000. (b) Find an exponential model, B(t), for the population of Berry t years after 2000. Show your work algebraically and check your answer using regression in Desmos. (c) When did the population of Allen reach 45,000?
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