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atroni [7]
3 years ago
14

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

l a quarter of the container?
Mathematics
1 answer:
Natalija [7]3 years ago
7 0
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. 
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