Exponential Growth and Decay Models

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Section 6.8 Exponential Growth and Decay Models
Logistic Growth and Decay Models
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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?

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• 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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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?

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