Question
Asked Oct 16, 2019
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A culture contains 1400 bacteria initially and doubles every 50 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) = Aekt = B
 
2t/C
 
, where
A =
k =
B =
C =



Find the time T that it will take for the culture to reach 5800 bacteria?

T = minutes

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Expert Answer

Step 1

To determine a function P(t) that models the number of bacteria after t minutes.

Step 2

Given:

The initial number of bacteria is 1400 and the bacteria doubles every 50 minutes. The provided growth model is as given below:

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P(t) Ae B.2

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Step 3

Consider that the initial number of bacteria is 1400 and the bacteria doubles ever...

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P(t) Ae* Substitute 0 for t and 1400 for P(t)as, 1400 Ae A 1400 Also, P(t) B. 2 Substitute 0 for t and 1400 for P(t)as, 1400 B 2C B 1400

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Calculus

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