An epidemic spreads through a community so that t weeks after its outbreak, the number of people who have been infected is given by a function of the form

where B is the number of residents in the community who are susceptible to the disease. If 1/5 of the susceptible residents were infected initially and 1/2 had been infected by the end of the fourth week, what fraction of the susceptible residents will have been infected by the end of the eighth week?

Transcribed Image Text:

f(t) = B 1 + Ce-kt¹