A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia in the lake. Assume that the growth of the population of tilapia follows the logistic model, and that the lake has a carrying capacity of 20400 for this species of tilapia. (a) Write a formula that gives the number of tilapia after t years. (b) When will the population reach 10000? (c) How fast is the population changing when there are 10000 tilapia in the lake?

A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia in the lake. Assume that the growth of the population of tilapia follows the logistic model, and that the lake has a carrying capacity of 20400 for this species of tilapia. (a) Write a formula that gives the number of tilapia after t years. (b) When will the population reach 10000? (c) How fast is the population changing when there are 10000 tilapia in the lake?

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 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...

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