A culture contains 2000 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 = B = Find the time T that it will take for the culture to reach 7000 bacteria? T = minutes

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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A culture contains 2000 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( 2c), where
A =
k%3D
B =
Find the time T that it will take for the culture to reach 7000 bacteria?
T =
minutes
Transcribed Image Text:A culture contains 2000 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( 2c), where A = k%3D B = Find the time T that it will take for the culture to reach 7000 bacteria? T = minutes
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