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Exponential Growth and Decay Models; Logistic Growth and Decay Models

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Presentation on theme: "Exponential Growth and Decay Models; Logistic Growth and Decay Models"— Presentation transcript:

1 Exponential Growth and Decay Models; Logistic Growth and Decay Models
Section 6.8 Exponential Growth and Decay Models; Logistic Growth and Decay Models

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5 Bacterial Growth A colony of bacteria grows according to the law of uninhibited growth according to the function Where N is measured in grams and t is in days. Determine the initial amount of bacteria What is the growth rate of bacteria What is the population after 5 days? How long will it take for the population to reach 140 grams? What is the doubling time for the population?

6 A colony of bacteria increases according to the law of uninhibited growth.
If the number of bacteria doubles in 4 hours, find the function that gives the number of cells in the culture. How long will it take for the size of the colony to triple?

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9 Estimating the Age of Ancient Tool
Traces of burned wood along with ancient stone tools in an archeological dig in Chile were found to contain approximately 1.67% of the original amount of carbon 14. If the half-life of carbon 14 is 5600 years, approximately when was the tree cut and burned?

10 The size of a herbivore population at time t (in years) obeys the function
After how many years will the population reach 3000? A) B) C) D)


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