Question

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.9% 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

It would take 18.5 hours because

Answer 2

It would take 18.12 hours

Explanation:

A(t) = Ao*(1.039)^h

Solve:: 1.039^h = 2

h = log(2)/(log(1.039)

h = 18.12 hours