Pauls chickens got the bird flu and he is trying to stop the epidemic. He knows

Question

Pauls chickens got the bird flu and he is trying to stop the epidemic. He knows that the function
f(t) =300/(10+20e^?1.5t) descirbes the number of his chickens whoa are sick t weeks after the initial outbreak.
a) How many chickens became sick when the flu epidemic has began?
b) In how many weeks will 100 chickens be sick
c) What is the maximum number of chickens that will become ill?

Explanation / Answer

a) The answer is f(0) = 300/(10+20e^0) = 300/(10+20) = 300/30 = 10 b) Solve for t: 100 = 300/(10+20e^-1.5t) => 10 + 20e^-1.5t = 3 => 20e^-1.5t = -7 => e^-1.5t = -7/20 This has no solution. You sure you wrote the formula for f correctly?

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