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 = -140e-t/20 dt where t is the time in days. Wwhen t = 0, the population is 2,800. (a) Find a model for the population. P(t) = (b) What is the population of fish after 19 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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
= -140e-t/20
dt
where t is the time in days. When t = 0, the population is 2,800.
(a) Find a model for the population.
P(t) =
(b) What is the population of fish after 19 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 = -140e-t/20 dt where t is the time in days. When t = 0, the population is 2,800. (a) Find a model for the population. P(t) = (b) What is the population of fish after 19 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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