What Does B^(2t/C) Represent in Bacterial Growth Modeling?

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The discussion focuses on the mathematical modeling of bacterial growth, specifically using the equation P(t) = A e^(kt) = B^(2t/C). The initial bacterial count is 1200, with a growth rate constant k of 0.0231. The participants seek clarification on the variables B and C within the context of the growth model. The equation indicates that B represents the base of the exponential growth function, while C relates to the time interval for doubling the population.

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A culture contains 1200 bacteria initially and doubles every 30 minutes. Assuming that the rate of growth is proportional to the number of bacteria, find a function that models the number P(t) of bacteria after t minutes.

P(t) = A e^(kt) = B^(2t/C)
, where A = 1200
k = 0.0231
B = ?
C = ?

I was able to figure out A and K fine. But where does B and C mean?

Thank you
 
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Niaboc67 said:
A culture contains 1200 bacteria initially and doubles every 30 minutes. Assuming that the rate of growth is proportional to the number of bacteria, find a function that models the number P(t) of bacteria after t minutes.

P(t) = A e^(kt) = B^(2t/C)
Are you sure you copied the equation correctly?
 

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