SOLUTION: The count in a bacteria culture was 300 after 15 minutes and 1600 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture? Fin

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Question 1201193: The count in a bacteria culture was 300 after 15 minutes and 1600 after 35 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?

Find the doubling period.

Find the population after 70 minutes.

When will the population reach 14000.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Basic model can be chosen y=ab%5Ex
Points (15,300) and (35,1600).

Not doing the entire solution but if you substitute into the model,....
b=%2816%2F3%29%5E%281%2F20%29
which is about b=1.0873.