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?

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.