Logistic growth Scientists often use the logistic growth function
93. Gone fishing When a reservoir is created by a new dam, 50 fish are introduced into the reservoir, which has an estimated carrying capacity of 8000 fish. A logistic model of the fish population is
- a. Graph P using a graphing utility. Experiment with different windows until you produce an S-shaped curve characteristic of the logistic model. What window works well for this function?
- b. How long does it take the population to reach 5000 fish? How long does it take the population to reach 90% of the carrying capacity?
- c. How fast (in fish per year) is the population growing at t = 0? At t = 5?
- d. Graph P’ and use the graph to estimate the year in which the population is growing fastest.
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