fishery stocks a pond with 1200 young trout. The number of trout t years later is given by P(t) = 1200e − 0.8t . How many trout are left after 6 months? After 1 year? P(6 months) = 804   trout, and P(1 year) = 539   trout [Round your answers to the nearest integer.]   Find P(3) and interpret it in terms of trout. P(3) = 109   trout [Round your answer to the nearest integer.]   At what time are there 120 trout left? When t =   years there are only 120 trout. [Round your answer to 1 decimal place.]

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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A fishery stocks a pond with 1200 young trout. The number of trout t years later is given by P(t) = 1200e − 0.8t .

How many trout are left after 6 months? After 1 year?

P(6 months) = 804

 

trout, and P(1 year) = 539

 

trout
[Round your answers to the nearest integer.]

 

Find P(3) and interpret it in terms of trout.

P(3) = 109

 

trout
[Round your answer to the nearest integer.]

 

At what time are there 120 trout left?

When t =

 

years there are only 120 trout.
[Round your answer to 1 decimal place.]

Expert Solution
Step 1

We will use the given exponential relationship to find number of trouts left of 8 years.

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