A 20-gallon 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 same rate. The amount of salt in the barrel at time t is given by Q(t) = 6(1 – e 0.03t) where t is measured in minutes and Q(t) is measured in pounds.

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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
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A 20-gallon 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 t
same rate. The amount of salt in the barrel at time t is given by
Q(t) = 6(1 – e-0.03t)
where t is measured in minutes and Q(t) is measured in pounds.
(a) How much salt is in the barrel after 2 min? (Round your answer to two decimal places.)
lb
(b) How much salt is in the barrel after 4 min? (Round your answer to two decimal places.)
lb
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Transcribed Image Text:A 20-gallon 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 t same rate. The amount of salt in the barrel at time t is given by Q(t) = 6(1 – e-0.03t) where t is measured in minutes and Q(t) is measured in pounds. (a) How much salt is in the barrel after 2 min? (Round your answer to two decimal places.) lb (b) How much salt is in the barrel after 4 min? (Round your answer to two decimal places.) lb Zoom
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