SOLUTION: The relative growth rate for a certain type of bacteria population is 85% per hour. A small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the cult

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Question 1207262: The relative growth rate for a certain type of bacteria population is 85% per hour. A small culture has formed and in just 2 hours the count shows to be 12,500 bacteria in the culture. What is the initial number of bacteria in the culture?

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
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The exponential growth law is 

    n(t) = n%5B0%5D%2A1.85%5Et.


In 2 hours

    12500 = n%5B0%5D%2A1.85%5E2.


Therefore,  n%5B0%5D = 12500%2F1.85%5E2 = 3652  (rounded).


ANSWER.  Initial number of bacteria is about 3652.

Solved.

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