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Answer on Algebra Question for tami

Question #3674
A culture of bacteria grew from 320 to 780 in 5 hours. If this growth continues at this rate then how long will it take the population to triple
Expert's answer
Bacteria culture grows according the law:
A = A0 e^kt
Let's construct the system of equations
780 = 320 e 5k
780*3 = 780 ekt

5k = ln(780/320)
k = 0.178

3 = e 0.178 t
t = ln 3 / 0.178 = 6.165 hours

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Comments

dena
20.07.2011 11:38

This is actually 6.712 and if you calculate out 80/13 - you get 6.15....just depends on how picky your professor is.

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