SOLUTION: . Public health records indicate that t weeks after the outbreak of a certain strain of influenza, approximately
Q(t) = 20
1 + 19 e−1.2t
thousand people had caught the disease
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-> SOLUTION: . Public health records indicate that t weeks after the outbreak of a certain strain of influenza, approximately
Q(t) = 20
1 + 19 e−1.2t
thousand people had caught the disease
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Question 1183503: . Public health records indicate that t weeks after the outbreak of a certain strain of influenza, approximately
Q(t) = 20
1 + 19 e−1.2t
thousand people had caught the disease.
(a) How many people had the disease when it broke out? How many had it 2 weeks later?
(b) At what time does the rate of infection begin to decline?
(c) If the trend continues, approximately how many people will eventually contract the disease? 7,343 people had
contracted the disease by the second week. (b) = t=2.454, so the epidemic begins to fade about 2.5 weeks after
it starts. (c) Q(t) approaches 20 as t increases without bound, it follows that approximately 20,000 people will
eventually contract the disease.
