Warm Up: Using what we discovered yesterday, a population of 2500 M&M’s are subjected to Swine Flu for a week. How many M&M’s are left after that time.

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Warm Up: Using what we discovered yesterday, a population of 2500 M&M’s are subjected to Swine Flu for a week. How many M&M’s are left after that time period?

8.1 Exponential Growth Objective: Use exponential growth functions to model real life situations

General form: or

Calculating Growth Factors: a.Increase of 5% b.Increase of 50% c.Increase of 19.8% d.Increase of 100% e.Increase of 200%

Ex. 1: In 1980, Colorado’s population was about 2.8 million. Since then, the population has increased by about 1.5% each year. a.Write an exponential growth function to model Colorado’s population growth. b.Approximate the population in c.When will the population exceed 4 million?

Ex. 2: Monthly benefits for Social Security in May 1992 was $23,307 million. Since then, benefits have increased by about 5.4% each year. a.Write an exponential growth function to model the growth of monthly Social Security benefits. b.Approximate the monthly benefits in c.In what year will the monthly benefits exceed $50,000 million?