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8.2 Exponential Decay

Warm Up: Mr. Dodd currently has 21 koi in his backyard pond. If the population is growing at a rate of 15% per year, how many koi will be in the pond in 4 years?. 8.2 Exponential Decay. Objective: Use exponential decay functions to model real life situations. General form:. or.

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8.2 Exponential Decay

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  1. Warm Up: Mr. Dodd currently has 21 koi in his backyard pond. If the population is growing at a rate of 15% per year, how many koi will be in the pond in 4 years?

  2. 8.2 Exponential Decay Objective: Use exponential decay functions to model real life situations

  3. General form: or

  4. Calculating Decay Factors: Decrease of 5% Decrease of 50% Decrease of 19.8% Decrease of 100% Decrease of 200%

  5. Ex. 1: You buy a car for $24,000. The value, y, of the car decreases by 16% each year. Write an exponential decay function to model the value of your car. Approximate the value after 2 years. How long will it take for the car’s value to be less than $12,000?

  6. Ex. 2: The half-life of a hazardous substance is measured as the time that it takes for half the amount of the substance to decay. The half-life of the pesticide DDT is 15 years, and a 100g sample is improperly disposed of. Write an exponential decay function to model the scenario. b. What does x represent? c. How much of the pesticide will still be present at the disposal site in 75 years?

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