Biology Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's rate of change can be modeled by dP = -130e-/20 dt where t is the time in days. When t = 0, the population is 2,600. (a) Find a model for the population. P(t) = (b) What is the population of fish after 12 days? (Round your answer to the nearest integer.) fish (c) How long (in days) will it take for the entire trout population to die? (Assume the entire population has died off when the population is less than one. Round your answer to one decimal place.) days

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 29E
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Biology Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's rate of change can be modeled by
dP
= -130e
dt
-t/20
where t is the time in days. When t =
0, the population is 2,600.
(a) Find a model for the population.
P(t) =
(b) What is the population of fish after 12 days? (Round your answer to the nearest integer.)
fish
(c) How long (in days) will it take for the entire trout population to die? (Assume the entire population has died off when the population is less than one. Round your answer to one decimal place.)
days
Transcribed Image Text:Biology Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's rate of change can be modeled by dP = -130e dt -t/20 where t is the time in days. When t = 0, the population is 2,600. (a) Find a model for the population. P(t) = (b) What is the population of fish after 12 days? (Round your answer to the nearest integer.) fish (c) How long (in days) will it take for the entire trout population to die? (Assume the entire population has died off when the population is less than one. Round your answer to one decimal place.) days
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