Biologists stocked a lake with 200 fish and estimated the carrying capacity to be 6400. The number of fish grew to 830 in the first year. Find the logistic equation for the fish population, P(t), after t years. Be as exact as possible. How long will it take for the population to increase to 3200 (half of the carrying capacity)? years.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 64RE: What is the carrying capacity for a population modeled by the logistic equation...
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Biologists stocked a lake with 200 fish and estimated the carrying capacity to be 6400. The number of fish
grew to 830 in the first year.
Find the logistic equation for the fish population, P(t), after t years. Be as exact as possible.
How long will it take for the population to increase to 3200 (half of the carrying capacity)?
years.
Transcribed Image Text:Biologists stocked a lake with 200 fish and estimated the carrying capacity to be 6400. The number of fish grew to 830 in the first year. Find the logistic equation for the fish population, P(t), after t years. Be as exact as possible. How long will it take for the population to increase to 3200 (half of the carrying capacity)? years.
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