MY NOTES 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) - A ekt - where A%3D B%3D C = Find the time T that it will take for the culture to reach 3800 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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MY NOTES
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) = A ekt = B( 2t/C),
where
A =
k =
B =
C =
Find the time T that it will take for the culture to reach 3800 bacteria?
T =
minutes
Transcribed Image Text:MY NOTES 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) = A ekt = B( 2t/C), where A = k = B = C = Find the time T that it will take for the culture to reach 3800 bacteria? T = minutes
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