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CalculusQ&A LibraryA 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 = minutesQuestion

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) = Ae^{kt} = B

2^{t/C}

, where

A =

k =

B =

C =

A =

k =

B =

C =

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

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:

Step 3

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

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