Question

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

6.1%
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

Let N be the number of bacteria as function of the time in hours, and let No be the initial number of bacteria.

N=No*e^0.061t

N/No=2=e^0.061t

0.061t=ln2

t=ln2/0.061

t = 0.693/0.061

t = 11.36