A virus is spreading exponentially. The initial amount of people infected is 40 and is increasing at

Discussion in 'Calculator Requests' started by math_celebrity, Jun 12, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A virus is spreading exponentially. The initial amount of people infected is 40 and is increasing at a rate of 5% per day. How many people will be infected with the virus after 12 days?

    We have an exponential growth equation below V(d) where d is the amount of days, g is the growth percentage, and V(0) is the initial infected people:
    V(d) = V(0) * (1 + g/100)^d

    Plugging in our numbers, we get:
    V(12) = 40 * (1 + 5/100)^12
    V(12) = 40 * 1.05^12
    V(12) = 40 * 1.79585632602
    V(12) = 71.8342530409 or 71
     

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