26. Mixtures and Concentrations A 50-gal barrel is filled com- pletely with pure water. Salt water with a concentration of 0.3 lb/gal is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt in the barrel at time t is given by Q(1) = 15(1 – e-004) where t is measured in minutes and Q(1) is measured in pounds. (a) How much salt is in the barrel after 5 min? (b) How much salt is in the barrel after 10 min? (c) Draw a graph of the function Q(1).

Linear Algebra: A Modern Introduction
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Chapter6: Vector Spaces
Section6.7: Applications
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Mixtures and Concentrations A 50-gal barrel is filled completely with pure water. Salt water with a concentration of
0.3 lb/gal is then pumped into the barrel, and the resulting
mixture overflows at the same rate. The amount of salt in the
barrel at time t is given by

26. Mixtures and Concentrations A 50-gal barrel is filled com-
pletely with pure water. Salt water with a concentration of
0.3 lb/gal is then pumped into the barrel, and the resulting
mixture overflows at the same rate. The amount of salt in the
barrel at time t is given by
Q(1) = 15(1 – e-004)
where t is measured in minutes and Q(1) is measured in
pounds.
(a) How much salt is in the barrel after 5 min?
(b) How much salt is in the barrel after 10 min?
(c) Draw a graph of the function Q(1).
Transcribed Image Text:26. Mixtures and Concentrations A 50-gal barrel is filled com- pletely with pure water. Salt water with a concentration of 0.3 lb/gal is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt in the barrel at time t is given by Q(1) = 15(1 – e-004) where t is measured in minutes and Q(1) is measured in pounds. (a) How much salt is in the barrel after 5 min? (b) How much salt is in the barrel after 10 min? (c) Draw a graph of the function Q(1).
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