notes_5b_-_linear_vs_expo

notes_5b_-_linear_vs_expo - V Goal To distinguish between...

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V. Goal: To distinguish between linear and exponential functions (3.3, 3.5) A. Linear verses exponential functions 1. In 2006, the number of math majors at USC was 250. a. If the number of math majors is growing by 4% per year, write an equation M, for the number of math majors t years after 2006. b. How many math majors will there be in 2020? c. If the number of math majors is growing by 4 people per year, write an equation M, for the number of math majors t years after 2006. d. How many math majors will there be in 2020? 2. By drinking a cup of coffee, you ingest 150 mg of caffeine. a. How much caffeine would remain after 3 hours if it leaves at a rate of 16 mg per hour? b. If caffeine leaves the body at 16% per hour, how much caffeine would remain after 3 hours? 3. A small town has 150 people in 2008. Write an equation for the population P, as a function of t , years since 2008 if the population: a. Doubles each year. b. Decreases by 12 people per year.

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c. Increases by 5% each year.
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