a.) In the year 2000, the population of Funtown was about 20 million, and wasgrowing by approximately 1.62% per year. At this growth rate, the function f(x) =20(1.0162)x gives the population, in millions, x years after 2000. Using the model f(x) in what year would the population reach 25 million? Round your answer to the nearest year. (Graph on Desmos!)   b.) In the year 2005, the population of Boring was about 12 thousand, and was decreasing by approximately 2.5% per year. At this decay rate, the function f(x)=12(.975)x gives the population, in thousand, x years after 2005. Using the model f(x) in what year would the population reach 10 thousand? Round your answer to the nearest year. (Graph on Desmos!)

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 43E
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a.) In the year 2000, the population of Funtown was about 20 million, and wasgrowing by approximately 1.62% per year. At this growth rate, the function f(x) =20(1.0162)gives the population, in millions, x years after 2000.

Using the model f(x) in what year would the population reach 25 million? Round your answer to the nearest year. (Graph on Desmos!)

 

b.) In the year 2005, the population of Boring was about 12 thousand, and was decreasing by approximately 2.5% per year. At this decay rate, the function f(x)=12(.975)x gives the population, in thousand, x years after 2005.

Using the model f(x) in what year would the population reach 10 thousand? Round your answer to the nearest year. (Graph on Desmos!)

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