A culture of bacteria has an initial population of 22000 bacteria and doubles every 5 hours. Using the formula P t = P 0 ⋅ 2 t d P t =P 0 ⋅2 d t , where P t P t is the population after t hours, P 0 P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 17 hours, to the nearest whole number?

We have been given that a culture of bacteria has an initial population of 22,000 bacteria and doubles every 5 hours. Using the formula , where P(t) is the population after t hours, is the initial population, t is the time in hours and d is the doubling time.

We are asked to find the population of bacteria after 17 hours.

First of all, we will substitute our given values in doubling life formula as:

Now to find population of bacteria after 17 hours, we will substitute in our formula as:

Therefore, the bacteria population will be 232,233 after 17 hours.

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answer: 2530

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