Question 758931: During an epidemic , the number of people who have never had the disease and who are not immune ( they are susceptible) decreases exponentially according to the function f(t) = 15,000e^-.05t, where t is time in day. find the number of susceptible people at each time.
(a) at the beginning of the epidemic
(b) after 10 days
(c) after 3 weeks
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! f(t) = 15,000e^-.05t
a) At the beginning t = 0
f(t) = 15,000e^-.05x0
f(t) = 15,000e^0
as e^0 = 1
f(t) = 15,000
b) after 10 days
f(t) = 15,000e^-.05 x 10
f(t) = 15,000e^-.5
f(t) = 9097.9
c) after 3 weeks
f(t) = 15,000e^-.05 x 21
f(t) = 15,000e^-1.05
f(t) = 5249.
Hope this helps.
:-)
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