The population P of a colony of 3600 bacteria at time t minutes can be modeled by the function P(x) = 3600(2)^t/73. How long doe
s it take the population (in hours) to reach 1,792,000?
2 answers:
It takes 10.9 hours.
We set the equation equal to 1792000:

Divide both sides by 3600:

We will use logarithms to solve this:

Multiply both sides by 73:

This is in minutes; to convert to hours, divide by 60:
654.03/60 = 10.9
The answer is: 10.90 hoursExplanation:
Please see the image attached!
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