Biologists stocked a lake with 250 fish and estimated the carrying capacity (maximum pop- ulation for the fish of that species in that lake) to be 20, 000. After 3 years, the fish population reached 1,000. The rate of growth of the number of fish present in the lake is jointly proportional to the number of fish present and the difference between the carrying capacity and the mumber of fish present. 5. a. Find the logistic model expressing the number of fish present in the lake as a function of time t. b. How long will it take for the fish population to reach 10, 000?
Biologists stocked a lake with 250 fish and estimated the carrying capacity (maximum pop- ulation for the fish of that species in that lake) to be 20, 000. After 3 years, the fish population reached 1,000. The rate of growth of the number of fish present in the lake is jointly proportional to the number of fish present and the difference between the carrying capacity and the mumber of fish present. 5. a. Find the logistic model expressing the number of fish present in the lake as a function of time t. b. How long will it take for the fish population to reach 10, 000?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 34E
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