SOLUTION: During its exponential growth phase, a colony of the bacterium E. color grew from 5067 cells to 39,491 cells in 60 minutes. How long will it take the colony of 5067 cells to grow t

Question 1101145: During its exponential growth phase, a colony of the bacterium E. color grew from 5067 cells to 39,491 cells in 60 minutes. How long will it take the colony of 5067 cells to grow to 200,000 cells?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
During its exponential growth phase, a colony of the bacterium E. color grew from 5067 cells to 39,491 cells in 60 minutes.
How long will it take the colony of 5067 cells to grow to 200,000 cells?
let k = the growth constant
the equation

using nat logs
ln(5067^60k) = ln(39491)
60k =
60k = 1.2407
k =
k = .020678
:
let m = no. of minutes to reach 200,000 cells

.020678m =
.020678m = 1.43087
m =
m = 69.2 minutes
:

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