Chap8 Section2

# Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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• davidvictor
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Section 8.2 Exponential Functions 783 Version: Fall 2007 8.2 Exercises 1. The current population of Fortuna is 10,000 hearty souls. It is known that the population is growing at a rate of 4% per year. Assuming this rate remains constant, perform each of the following tasks. a. Set up an equation that models the population P ( t ) as a function of time t . b. Use the model in the previous part to predict the population 40 years from now. c. Use your calculator to sketch the graph of the population over the next 40 years. 2. The population of the town of Imag- ination currently numbers 12,000 people. It is known that the population is grow- ing at a rate of 6% per year. Assuming this rate remains constant, perform each of the following tasks. a. Set up an equation that models the population P ( t ) as a function of time t . b. Use the model in the previous part to predict the population 30 years from now. c. Use your calculator to sketch the graph of the population over the next 30 years. 3. The population of the town of De- spairia currently numbers 15,000 individ- uals. It is known that the population is decaying at a rate of 5% per year. As- suming this rate remains constant, per- form each of the following tasks. Copyrighted material. See: 1 a. Set up an equation that models the population P ( t ) as a function of time t . b. Use the model in the previous part to predict the population 50 years from now.

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