SOLUTION: The count of bacteria in a culture was 200 after 2 hours and 24,000 after 8 hours. What is the relative growth rate of the bacteria population, as a percentage?

Question 1037372: The count of bacteria in a culture was 200 after 2 hours and 24,000 after 8 hours. What is the
relative growth rate of the bacteria population, as a percentage?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let , where is the initial count, and r is the relative growth rate.
==> and
Dividing the second equation by the first equation (effectively canceling ), we get

==> .
Therefore the relative growth rate r is 122.0906%.

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