# 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.

1. 👍 1
2. 👎 0
3. 👁 1,936
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

1. 👍 0
2. 👎 2

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