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a culture started with 3000 bacteria. After 5 hours it grew to 3900 bacteria. Predict how many will be present after 9 hours

2 Answers

5 votes

Answer:

4811

Explanation:

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User Gil Perez
by
5.0k points
3 votes

Answer:

4811

Explanation:

The multiplier in 5 hours is 3900/3000 = 1.3, so we can write the exponential growth function as ...

n(t) = (initial number)·(growth factor)^(t/(time for growth factor))

n(t) = 3000·1.3^(t/5)

Then the number present after 9 hours is ...

n(9) = 3000·(1.3^9/5) ≈ 4811

User Nomistic
by
5.3k points