Question

The number of bacteria in a certain population increases 4.5% according to an exponential growth model, with a growth rate of per hour. How many hours does it take for the size of the sample to double?


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

Answer 1

you need to solve
\[e^{.045t}=2\] for t. takes two steps
\[.045t=ln(2)\]
\[t=\frac{ln(2)}{.045}\]
then use a calculator to get
\[t=15.403\]