Question

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.

Answer 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