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

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In bacterial growth modeling, the function P(t) = A e^(kt) represents the number of bacteria over time, where A is the initial population. The equation also includes B^(2t/C), which relates to the growth rate and time intervals. The values of B and C are crucial for defining the growth behavior, particularly in exponential growth scenarios. The discussion highlights confusion regarding the correct interpretation and calculation of B and C in the context of the given growth parameters. Understanding these variables is essential for accurately modeling bacterial population dynamics.
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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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