Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 6,000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years. P = (b) How long will it take for the population to increase to 3000? (Round your answer to two decimal places.) yr

Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 6,000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years. P = (b) How long will it take for the population to increase to 3000? (Round your answer to two decimal places.) yr

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 34PT: The population of a lake of fish is modeled by the logistic equation P(t)=16,1201+25e0.75t, where t...

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