SOLUTION: The bacteria in a 9-liter container doubble every 4 minutes. After 54 minutes the container is full. How long did it take to fill a quarter of the container?

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Question 471557: The bacteria in a 9-liter container doubble every 4 minutes. After 54 minutes the container is full. How long did it take to fill a quarter of the container?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The bacteria in a 9-liter container double every 4 minutes.
After 54 minutes the container is full.
How long did it take to fill a quarter of the container?
:
You can reason this out.
If it takes 4 min to double, then it would be half full at 50 min, then 1/4 full in 46 min
:
You can confirm this with numbers
:
Find the number of bacteria when full
2^(54/4) = 11585.24
1%2F4 * 11585.24 = 2896.31
let = no. minutes to be 1/4 full
2^(t/4) = 2896.31
using logs
t%2F4 = log%282896.31%29%2Flog%282%29
t%2F4 = 11.5
t = 11.5 * 4
t = 46 min to be 1/4 full