The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 900,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 80,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time t, measured in days. NOTE: Enter an exact answer. P(t)
The population of mosquitoes in a certain area increases at a rate proportional to the current population, and in the absence of other factors, the population doubles each week. There are 900,000 mosquitoes in the area initially, and predators (birds, bats, and so forth) eat 80,000 mosquitoes/day. Determine the population of mosquitoes in the area at any time t, measured in days. NOTE: Enter an exact answer. P(t)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.6: Wind And Water Current Problems
Problem 8P
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The rate of increase of the mosquito population is rP. The population decreases by q per day. Hence the equation that models the
dP
population is given by = rP – q.
dt
Transcribed Image Text:The population of mosquitoes in a certain area increases at a rate
proportional to the current population, and in the absence of
other factors, the population doubles each week. There are
900,000 mosquitoes in the area initially, and predators (birds,
bats, and so forth) eat 80,000 mosquitoes/day. Determine the
population of mosquitoes in the area at any time t, measured
in days.
NOTE: Enter an exact answer.
P(t)
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