Honors Algebra

A biologist is researching a newly discovered species of bacteria. At time t=0 hours, she puts on hundred bacteria into a Petri dish. Six hours later, she measures 450 bacteria. Assuming exponential growth, what is the growth rate "k" for the bacteria? (Round your percent to two decimals and include units)

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  1. 450 = 100 e^(kt)

    4.5 = e^(6k)

    ln(4.5) = 6 k

    k = [ln(4.5)] / 6

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