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The initial size of a culture of bacteria is 1000. After one hour the bacteria count is 4000.
(a) Find a function
n(t) = n0ert
that models the population after t hours.
n(t) =

b)Find the population after 1.5 hours. (Round your answer to the nearest whole number.)
n(1.5) = bacteria

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Emma

  1. n = 1000 e^(kt)

    note when t = 0, e^kt = e^0 = 1
    so 1000*1 at t =0

    4000/1000 = 4 = e^(k*1)
    or
    e^k = 4
    k = ln 4 = 1.386
    so
    n = 1000 e^ (1.386 t)
    it t = 1.5
    n = 1000 e^(2.079)
    n = 8000

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    Damon

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