A culture contains 1800 bacteria initially and doubles every 40 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 ekt = B(2t/C ) , whereA = k = B = C =  Find the time T that it will take for the culture to reach 9600 bacteria?T =  minutes

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A culture contains 1800 bacteria initially and doubles every 40 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 ekt = B(2t/C )
, where
A = 
k = 
B = 
C = 



Find the time T that it will take for the culture to reach 9600 bacteria?

T =  minutes

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