A culture of bacteria has an initial population of 450 bacteria and doubles every 4 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 3 hours, to the nearest whole number?

757

Step-by-step explanation:

We use the model:

From the given information

On substitution of these into the model, we have:

We want to determine the population of the bacteria culture, P(t) after 3 hours.

When t=3

Therefore, the bacteria culture contains approximately 757 bacteria after 3 hours.

step-by-step explanation:

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