SOLUTION: The count in a bateria culture was 300 after 10 minutes and 1500 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture Find the dou

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Question 1129175: The count in a bateria culture was 300 after 10 minutes and 1500 after 35 minutes. Assuming the count grows exponentially,
What was the initial size of the culture
Find the doubling period
Find the population after 115 minutes.
When will the population reach 13000.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y=ab%5Ex , model


system%28300=a%2Ab%5E10%2C1500=ab%5E35%29

b%5E35%2Fb%5E10=5

b%5E25=5

25%2Alog%28%28b%29%29=log%28%285%29%29

log%28%28b%29%29=log%28%285%29%29%2F25

log%28%28b%29%29=0.02796

b=1.0665
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a=y%2Fb%5Ex
a=300%2F1.0665%5E10

approx, a=158
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The doubling time is slightly less than 10 minutes.
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highlight_green%28y=158%2A1.0665%5Ex%29