(a) What is the initial trout population in the lake? Your answer should be a whole number and remember the units. (b) What will the trout population be 5 years from now? Your answer should be a whole number and remember the units. (c) How many years will it take for the trout population to reach 117,000? Round your answer to three decimals.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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(a) What is the initial trout population in the lake? Your answer should be a whole number and remember the
units.
(b) What will the trout population be 5 years from now? Your answer should be a whole number and remember
the units.
(c) How many years will it take for the trout population to reach 117,000? Round your answer to three
decimals.
(d) In the long term what will the population of the trout be? Your answer should be a whole number and
remember the units.
(e) Find p'(t) =
=
(f) In 5 years from now the rate at which the trout population is growing. Round your answer to a whole
number and remember the units.
trout
year
Transcribed Image Text:(a) What is the initial trout population in the lake? Your answer should be a whole number and remember the units. (b) What will the trout population be 5 years from now? Your answer should be a whole number and remember the units. (c) How many years will it take for the trout population to reach 117,000? Round your answer to three decimals. (d) In the long term what will the population of the trout be? Your answer should be a whole number and remember the units. (e) Find p'(t) = = (f) In 5 years from now the rate at which the trout population is growing. Round your answer to a whole number and remember the units. trout year
The population of trout in a certain lake after t years from now is given by the function
190
p(t)
=
1+21.5e-0.31t
where p is measured in thousands.
Transcribed Image Text:The population of trout in a certain lake after t years from now is given by the function 190 p(t) = 1+21.5e-0.31t where p is measured in thousands.
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