Suppose a tank contains 600 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the mixture flows out at the rate of 3 gallons per minute, how many pounds of salt will remain in the tank after 21 minutes if 30 pounds of salt are in the mixture initially? (Give your answer correct to at least three decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 39E
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Question 1
Suppose a tank contains 600 gallons of salt water. If pure water flows into the tank at
the rate of 7 gallons per minute and the mixture flows out at the rate of 3 gallons per
minute, how many pounds of salt will remain in the tank after 21 minutes if 30 pounds
of salt are in the mixture initially? (Give your answer correct to at least three decimal
places.)
Only round your final answer according to the problem requirements. Be sure to
keep as much precision as possible for the intermediate numbers. If you round
the intermediate numbers, the accumulated rounding error might make your
final answer wrong. (This is true in general, not just in this problem.)
Transcribed Image Text:Question 1 Suppose a tank contains 600 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the mixture flows out at the rate of 3 gallons per minute, how many pounds of salt will remain in the tank after 21 minutes if 30 pounds of salt are in the mixture initially? (Give your answer correct to at least three decimal places.) Only round your final answer according to the problem requirements. Be sure to keep as much precision as possible for the intermediate numbers. If you round the intermediate numbers, the accumulated rounding error might make your final answer wrong. (This is true in general, not just in this problem.)
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