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 175, 000 mosquitoes in the area initially, and predators (birds, bats, etc.) eat 18,000 mosquitoes per day. Determine the population P(t) of mosquitoes on day t.

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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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 175, 000
mosquitoes in the area initially, and predators (birds, bats, etc.) eat 18,000 mosquitoes per day. Determine
the population P(t) of mosquitoes on day t.
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 175, 000 mosquitoes in the area initially, and predators (birds, bats, etc.) eat 18,000 mosquitoes per day. Determine the population P(t) of mosquitoes on day t.
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