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1 April, 15:40

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 (x) = 15000e-^ (0.05t), where t is time in days. Find the number of susceptible people at each time below.

At the beginning of the epidemic

After 14 days

After 21 days

After 5 weeks

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  1. 1 April, 16:04
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    Solving this problem is just pretty straight forward. All we simply have to do is to plug in the value of t (in days) in the function, solve then we get the number of susceptible people.

    A. At the beginning of the epidemic

    t = 0

    f (x) = 15000 e-^ (0.05 * 0)

    f (x) = 15000

    B. After 14 days

    t = 14

    f (x) = 15000 e-^ (0.05 * 14)

    f (x) = 7,448.78 = 7,449

    C. After 21 days

    t = 21

    f (x) = 15000 e-^ (0.05 * 21)

    f (x) = 5,249

    D. After 5 weeks

    t = 5 * 7 = 35

    f (x) = 15000 e-^ (0.05 * 35)

    f (x) = 2,606.61 = 2607
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