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(t) = 15(1 – e-0.04) %3D where t is measured in minutes and Q(t) 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(t). (d) Use the graph in part (c) to determine the value that the amount of salt in the barrel approaches as t becomes large. Is this what you would expect? Q(t) = 15(1 – e 0.04)
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(t) = 15(1 – e-0.04) %3D where t is measured in minutes and Q(t) 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(t). (d) Use the graph in part (c) to determine the value that the amount of salt in the barrel approaches as t becomes large. Is this what you would expect? Q(t) = 15(1 – e 0.04)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text: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(t) = 15(1 – e-0.04)
%3D
where t is measured in minutes and Q(t) 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(t).
(d) Use the graph in part (c) to determine the value that the
amount of salt in the barrel approaches as t becomes
large. Is this what you would expect?
Q(t) = 15(1 – e 0.04)
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