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A culture of bacteria has an initial population of 200 bacteria and doubles every 5 hours. Using the formula Pt=P0⋅2tdP t =P 0 ⋅2 dt , where PtP t is the population after t hours, P0P 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 4 hours, to the nearest whole number?

A culture of bacteria has an initial population of 200 bacteria and doubles every 5 hours Using the formula PtP02tdP t P 0 2 dt where PtP t is the population af class=

Respuesta :

To solve the present problem, we need just to substitute the values and perform any needed calculation.

[tex]P_t=200\cdot2^{\frac{t}{5}}[/tex]

To t = 4, we have the following:

[tex]\begin{gathered} P(4)=200\cdot2^{\frac{4}{5}} \\ P(4)=200\cdot1.74110\ldots \\ P(4)=348.22 \end{gathered}[/tex]

From the solution developed above, we are able to conclude that the nearest whole number is:

348

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