Question

A bacteria population is growing exponentially with a growth factor of 18 each hour. By what growth factor does the population change each half hour?

Exponential growth and decay
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asked 2021-06-18
I need answer on it ASAP

A bacteria population is growing exponentially with a growth factor of 18 each hour. By what growth factor does the population change each half hour?

Expert Answers (1)

2021-06-21

The bacteria population has an exponential growth with a factor of 18 per hour. The growth factor has to be determined for the population change each half hour.

Step 2

To find the growth factor for every half an hour as follows,

For an exponential function,\( \text{Growth factor of one hour} = (\text{Growth factor of half an hour})^{2}\) K Assuming growth factor of half an hour as x, \(18=x^{2} x=\sqrt{18} x=3\sqrt{2} \)

 Hence the growth factor is \(x=3\sqrt{2}\)

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