SOLUTION: The count in a bacteria culture was 100 after 10 minutes and 1800 after 30 minutes. Assuming the count grows exponentially, - What was the initial size of the culture? - Fin

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Question 1127879: The count in a bacteria culture was 100 after 10 minutes and 1800 after 30 minutes. Assuming the count grows exponentially,
- What was the initial size of the culture?
- Find the doubling period.
- Find the population after 100 minutes.
- When will the population reach 14000?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
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The count in a bacteria culture was 100 after 10 minutes and 1800 after 30 minutes. Assuming the count grows exponentially,
- What was the initial size of the culture?
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y=ab%5Ex

points (10,100) and (30, 1800)

system%28ab%5E10=100%2Cab%5E30=1800%29

b%5E20=18

b=18%5E%281%2F20%29=18%5E%280.05%29

highlight%28b=1.155%29

highlight%28a=24%29