Algebra

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.7%
per hour. How many hours does it take for the size of the sample to double?

Note: This is a continuous exponential growth model.

Do not round any intermediate computations, and round your answer to the nearest hundredth.

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  1. the growth after t hours is 1.036^t

    so, find t where

    1.036^t = 2
    t log1.036 = log2
    t = log2/log1.036 = 19.5986

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