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Algebra

Suppose a population of bacteria in a Petri dish has a doubling time of 6 hours. How long will it take for an initial population of 11000 bacteria to reach 20000? Round your answer to two decimal places.

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  1. You want t where

    2^(t/6) = 20000/11000 = 1.818
    t = 6log1.818/log2 = 5.174 hr

    Makes sense, since in 6 hrs it will double to 22,000

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