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One model for the spread of an illness isdI/(dt)=kI(P-I), where P is the population,Iis the number of infected people andk is a constant. Suppose that

One model for the spread of an illness isdI/(dt)=kI(P-I), where P is the population,Iis the number of infected people andk

is a constant. Suppose that in a secluded town of 5000 people, 160 people are initially infected and 1200 people are infected by the end of the week. How long will it take for 80% of the town to become infected?

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