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1. A certain lake is stocked with 3000 fish. The population, P, is growing according to a logistic curve: 9,000 P = 1+2e-0.21 where t is measured in months since the lake was initially stocked Graph this function with appropriate scales, showing all intercepts and asymptotes within the domain. a. b. After how many months will the fish population be 7000? Solve algebraically and round to the nearest 0.1 months Is there a maximum possible fish population that the lake can sustain, according to this model? If so, what is the maximum population? How do you know?| c.

1. A certain lake is stocked with 3000 fish. The population, P, is growing according to a logistic curve: 9,000 P = 1+2e-0.21 where t is measured in months since the lake was initially stocked Graph this function with appropriate scales, showing all intercepts and asymptotes within the domain. a. b. After how many months will the fish population be 7000? Solve algebraically and round to the nearest 0.1 months Is there a maximum possible fish population that the lake can sustain, according to this model? If so, what is the maximum population? How do you know?| c.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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1. A certain lake is stocked with 3000 fish. The population, P, is growing according to a logistic curve: 9,000 P = 1+2e-0.21 where t is measured in months since the lake was initially stocked Graph this function with appropriate scales, showing all intercepts and asymptotes within the domain. a. b. After how many months will the fish population be 7000? Solve algebraically and round to the nearest 0.1 months Is there a maximum possible fish population that the lake can sustain, according to this model? If so, what is the maximum population? How do you know?| c.
Transcribed Image Text:1. A certain lake is stocked with 3000 fish. The population, P, is growing according to a logistic curve: 9,000 P = 1+2e-0.21 where t is measured in months since the lake was initially stocked Graph this function with appropriate scales, showing all intercepts and asymptotes within the domain. a. b. After how many months will the fish population be 7000? Solve algebraically and round to the nearest 0.1 months Is there a maximum possible fish population that the lake can sustain, according to this model? If so, what is the maximum population? How do you know?| c.
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