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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?

- 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?

The size of a herbivore population at time t (in

years) obeys the function After how many years

will the population reach 3000?

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