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Barb pulled the plug in her bathtub and it started to drain.

Barb pulled the plug in her bathtub and it started to drain. The amount
of water in the bathtub as it drains is represented by the equation
L = −5t2 – 8t + 120, where L represents the number of liters of water
in the bathtub and t represents the amount of time, in minutes, since
the plug was pulled.
How many liters of water were in the bathtub when Barb pulled the
plug? Show your reasoning.
Determine, to the nearest tenth of a minute, the amount of time it takes
for all the water in the bathtub to drain.

This question was asked on May 09, 2010.

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