Two neighboring towns have had population changes over a ten year period that follow exponential growth or exponential decay patterns. - The population of Town A was 20,000 in the year 2000. It has increased in population by 6.2% per year. - The population of Town B was 60,000 in the year 2000. It has decreased in population by 9.3% per year.   (a) Write n exponential model to describe the population of Town A.   (b) Write n exponential model to describe the population of Town B.   (c) Determine the year when Town A and Town B have the same population. Write our answer to this part in the box below. [You will only receive partial credit if solving by guess-and-check]

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 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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Two neighboring towns have had population changes over a ten year period that follow exponential growth or exponential decay patterns.

- The population of Town A was 20,000 in the year 2000. It has increased in population by 6.2% per year.

- The population of Town B was 60,000 in the year 2000. It has decreased in population by 9.3% per year.

 

(a) Write n exponential model to describe the population of Town A.

 

(b) Write n exponential model to describe the population of Town B.

 

(c) Determine the year when Town A and Town B have the same population. Write our answer to this part in the box below. [You will only receive partial credit if solving by guess-and-check]

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