An epidemic follows the curve P=200/1+20,000e^-0.549^t million people, where t is in years. How fast is the epidemic growing after 10 years? (Round your answer to two significant digits.)

Question

Mathematics

Oswaldo Mclean

19 June, 15:16

An epidemic follows the curve P=200/1+20,000e^-0.549^t million people, where t is in years. How fast is the epidemic growing after 10 years? (Round your answer to two significant digits.)

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Answers (1)

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Aron Wiley · Answer 1

The equation is

P = 200 / (1 + 20000 e^-0.549t)

TO get the rate of epidemic growth, we differentiate the equation with respect to t

dP/dt = - 200 (1 + 2000 e^-0.549t) ^-2 (20000) (-0.549)

Substitute t = 10 and you will get the epidemic growth rate after 10 years