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Exponential Decay

Exponential Decay. d.f . = Y- int = . - decreases by a constant factor - decay factor ( Mult .) - Less than 1 X Y 100 20 4 . Decay Rate. % data is decreasing by E XAMPLE If you are given the decay factor 0.52 - Make a % 52%

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Exponential Decay

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  1. Exponential Decay d.f. = Y-int = - decreases by a constant factor -decay factor (Mult.) - Less than 1 X Y 100 20 4

  2. Decay Rate • % data is decreasing by EXAMPLE If you are given the decay factor 0.52 - Make a % 52% - Subt from 100 = decay rate 48% If you are given the decay rate 87% - Subt from 100 13 % - Make a decimal = decay factor .13

  3. Exponential Decay X Y x y 0 300 0 324 • 180 1 108 • 108 2 36 DF = DF =

  4. Unit Review GGG

  5. Round 1 The foundation of your house has about 1,200 termites. The termites grow at a rate of about 15% per day. • Growth Factor? 2. Write an equation

  6. Round 2 1. How many termites will there be in 3 weeks? • When will there be 850,000 termites? y=1200(1.15x)

  7. Round 3 Kristen saved $5000, but in order to pay bills she is spending her money at a rate of 40% of her savings per month. 1. What is the decay rate? 2. What is the decay factor?

  8. Round 4 • Kristen saved $5000, but in order to pay bills she is spending her money at a rate of 40% of her savings per month. Months 0 1 2 3 4 Current Balance

  9. Round 5 • Kristen saved $5000, but in order to pay bills she is spending her money at a rate of 40% of her savings per month. • Write an equation. 2. When will she run out of money?

  10. The Easter bunny gave Tommy 5 jellybeans and sent him on a hunt for the rest. He finds 10 jellybeans per min. • What type of relationship is this? -Write an equation that represents the total number of jellybeans Tommy has.

  11. Joey collected 85 jellybeans. He does not like the black jellybeans, so he threw them at his brother at a rate of 6 jellybeans per min. -Write an equation that represents how many jellybeans Joey has. -In 14 min, how many does Joey have left?

  12. Round 6 • Find the decay rate or factor 1. 20% • 0.85 • 0.7 • 54%

  13. Round 7 • You drink a Pepsi that contains 120mg of caffeine . Each hour, the caffeine decreases by 12%. 1. What is the decay rate? 2. What is the decay factor? 3. Write an equation

  14. Round 8 An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours?

  15. Round 9 • You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

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