# 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?

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?
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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,$\text{Growth factor of one hour}=\left(\text{Growth factor of half an hour}{\right)}^{2}$ 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 $x=3\sqrt{2}$