A small lake is stocked with a certain species of fish. The fish population is modeled by the function 15 P = 1+ 7e-0.5t where P is the number of fish in thousands and t is measured in years since the lake was stocked. (a) Find the fish population after 4 years. (b) After how many years will the fish population reach 5000 fish?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.4: Exponential And Logarithmic Equations
Problem 83E: The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use...
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A small lake is stocked with a certain species of fish. The fish population is modeled by the
function
15
Р-
1+ 7e-0.5t
where P is the number of fish in thousands and t is measured in years since the lake
was stocked.
(a)
Find the fish population after 4 years.
(b)
After how many years will the fish population reach 5000 fish?
Transcribed Image Text:A small lake is stocked with a certain species of fish. The fish population is modeled by the function 15 Р- 1+ 7e-0.5t where P is the number of fish in thousands and t is measured in years since the lake was stocked. (a) Find the fish population after 4 years. (b) After how many years will the fish population reach 5000 fish?
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