Question

A bacteria culture begins with 11 bacteria that triple in amount at the end of every hour. How many bacteria are grown during the 7th hour? 1,331 8,019 9,317 24,057

Answer 1

(d) 24,057

Explanation:

Starting with 11 bacteria in a culture that triples in size every hour, you want to know the number grown in the 7th hour.

Exponential function

In hour 0, we have 11, and the growth factor per hour is 3. That means the population can be modeled by ...

p = 11·3^t

where t is in hours.

In the 7th hour, the population will grow to 11·3^7 = 24,057.

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