8.1 Exploring Exponential Functions
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Three mice will be in the barn in 2 years according to the following: If the number of mice quadruples every 4 months, starting with 2 mice, there will be 8 mice after 4 months. After 2 years (8 periods of 4 months), the number of mice will triple each period for a total of 3 * 8 = 24 mice. However, since there are only 2 mice to start, there will be 3 mice after 2 years.
8.1 Exploring Exponential Functions
- 1. Suppose two mice live in a barn. If the number of mice quadruples every 4 months, how many mice will there be in 2 years?
- 3. 8.1 Graphing Exponential Functions
- 4. Exponential Functions y = a ∙ b x Where a = , b = Used to model __________________ and _______________________
- 5. Example 1 . Graph y = 2 ∙ 3 x x y
- 6. Example 2. Determine whether each function models exponential growth or exponential decay. Then find the growth or decay factor. y = 100(.12) x y = 0.2(5) x y = 16( ½ ) x
- 7. Example 3. In 2000, the annual rate of increase in US population was 1.24%. Predict the population in 2015. Why might this not be valid? Find the growth rate. Write a function to model the growth. http://www.census.gov/population/www/popclockus.html
- 8. The exponential decay graph shows the expected depreciation for a car over four years. Estimate the value of the car after six years. Example 4 .