Explanation Use the initial values in the logistic equation to determine the value of the constant and then use that to find the number of days it will take for the fish to reach 900. Given: A lake has a carrying capacity of 1000 fish. Assume that the fish population grows logistically with growth constant k = 0.2 d a y − 1 . Calculation: Let y ( t ) represent the population of fish. Using the form of a logistic equation we have y ( t ) = 1000 1 − e − 0.2 t / C Given y ( 0 ) = 20 So, y ( 0 ) = 1000 1 − 1 / C = 20

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Chapter 10, Problem 47CRE

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How many days it will take for the fish population to reach 900 fish, if the initial population is 20 fish.

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Chapter 10, Problem 46CRE

Chapter 10, Problem 48CRE

Chapter 10 Solutions

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Ch. 10.1 - Prob. 1PQ Ch. 10.1 - Prob. 2PQ Ch. 10.1 - Prob. 3PQ Ch. 10.1 - Prob. 4PQ Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E

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How many days it will take for the fish population to reach 900 fish, if the initial population is 20 fish.

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How many days it will take for the fish population to reach 900 fish, if the initial population is 20 fish.

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