algebra

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Lets say we have a sample of 100 bacteria in a lab that doubles every 30 minutes. What formula would we apply here and how many bacteria would you expect to find in 35 minutes?

  • algebra -

    n = 100 e^(kt)
    200 = 100 e^(30 k)
    e^(30k) = 2
    30 k = ln 2
    k = .0231
    so
    n = 100 e^(.0231 t)
    if t = 35
    n(35min) = 100 e^(.0231*35)
    = 224

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