The bacteria in a 11 liter container double every 4 minutes. after 50 minutes the container is full. how long did it take to fill a quarter of the container?

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InfamusLove3545 InfamusLove3545

02-07-2017
Mathematics

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The bacteria in a 11 liter container double every 4 minutes. after 50 minutes the container is full. how long did it take to fill a quarter of the container?

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BlueSky06 BlueSky06 · Answer 1 · 2017-07-13T13:59:39+02:00

To answer this item, we formulate an equation that would relate the time, rate, and the final time.

A(t) = (Ao)(2)^(t/4)

We solve for the value of Ao by substituting the known values,
11 = (Ao)(2)^(50/4)
Ao = 1.89 x 10^-3

A quarter of 11 is 11/4. Using this value and the other known.
11/4 = (1.89 x 10^-3)(2)^(t/4)
The value of t from the equation is 42 minutes.