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Exponential Growth and Decay TS: Making decisions after reflection and review

Understand and solve exponential growth and decay scenarios using formulas and real-life examples. Learn how to predict future values and make informed decisions based on these calculations.

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Exponential Growth and Decay TS: Making decisions after reflection and review

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  1. Exponential Growth and DecayTS: Making decisions after reflection and review

  2. Objectives • To be able to solve exponential growth or decay problems.

  3. Exponential Growth & Decay • Exponential Growth and Decay can be modeled with the formula • If k < 0 then it is decay • If k > 0 then it is growth

  4. 1) The population of a city is increasing according to the law of exponential growth. The population was 2 million in 1990 and 3 million in 2000. What will the population be in 2012?

  5. 2) Radioactive iodine has a half-life of 60 days. If 20 grams are initially present, how long will it take for the radioactive iodine to decay to a level of 1 gram?

  6. Radioactive iodine has a half-life of 60 days. If 20 grams are initially present, how long will it take for the radioactive iodine to decay to a level of 1 gram?

  7. 3) In a research experiment, a population of fruit flies is increasing according to the law of exponential growth. After 2 days, there are 100 flies, and after 4 days, there are 300 flies. How many flies will there be after 5 days?

  8. 3) In a research experiment, a population of fruit flies is increasing according to the law of exponential growth. After 2 days, there are 100 flies, and after 4 days, there are 300 flies. How many flies will there be after 5 days?

  9. 4) The number of bacteria in a culture is increasing according to the law of exponential growth. It was estimated to be 10,000 at noon and 40,000 two hours later. How many bacteria will there be at 5 p.m.?

  10. 5) Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of aspirin in the bloodstream decays exponentially, with half being removed every 2 hours, find the amount of aspirin in the bloodstream after 5 hours.

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