Question: How to set up a problem like this one? dP (6 points)A population of fish is modeled by the equation E = 0.0004P(300 P) 10.

How to set up a problem like this one?

dP (6 points)A population of fish is modeled by the equation E = 0.0004P(300 P) 10. with an initial population of P(D) = 161 fish, wheret is measured in months. (a) What is the initial rate ofgrowth in the population? The initial rate of growth is C] fish per month. (b) What does the model project the population will be in the long term? The population will approach a size oft] fish. (c) What could be represented by the term 10 at the end of the equation? The term .10 could represent the number of fish harvested each month v _ dP (d) Suppose the equation were modified to become E = 0.0004P(P 300) 10, with the same initial population of 161 sh. How will the behavior of the model be different? The initial rate of growth will smaller V . The long term population will be V

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