Consider a rabbit population P(t) satisfying the logistic equation = aP - bP, where B = aP is the time rate at which births occur and D = bPʻ is the rate at which dt deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 10 deaths per month occurring at time t= 0, how many months does it take fo P(t) to reach 105% of the limiting population M?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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dP
Consider a rabbit population P(t) satisfying the logistic equation
ap - bP, where B = aP is the time rate at which births occur and D = bP is the rate at which
dt
%3D
deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 10 deaths per month occurring at time t = 0, how many months does it take for
P(t) to reach 105% of the limiting population M?
months (Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:dP Consider a rabbit population P(t) satisfying the logistic equation ap - bP, where B = aP is the time rate at which births occur and D = bP is the rate at which dt %3D deaths occur. If the initial population is 220 rabbits and there are 6 births per month and 10 deaths per month occurring at time t = 0, how many months does it take for P(t) to reach 105% of the limiting population M? months (Type an integer or decimal rounded to two decimal places as needed.)
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