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Worksheet: The Logistic Model

Q1:

Suppose a population’s growth is governed by the logistic equation where . Write a formula for .

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Q2:

Suppose a population grows according to a logistic model with a carrying capacity of 4 000 and . If the initial population is 800, find the population after 20 years.

Q3:

A population after time weeks is modeled by the logistic equation . If , what population does the model predict when ?

Q4:

A population after time weeks is modeled by the logistic equation . If , what population does the model predict after 9 weeks?

Q5:

Suppose a population grows according to a logistic model with a carrying capacity of 2 500 and . Write the logistic differential equation for this information.

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  • E