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 number of fish present. 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 number of fish present. 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

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...

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