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37. A large mixing tank currently contains 1,000 gallons of water into which 24 pounds of salt have been mixed. A tap will open pouring

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37. A large mixing tank currently contains 1,000 gallons of water into which 24 pounds of salt have been mixed. A tap will open pouring 18 gallons per minute of water into the tank at the same time salt is poured into the tank at a rate of 2 pounds per minute. Find the concentration (pounds per gallon) of salt in the tank after half an hour. Is that a greater concentration than at the beginning? a) Find a function that describes the concentration, C, of salt in pounds per gallon, at any time t minutes after the tap is opened. b) Find the concentration (pounds per gallon) of salt in the tank after half an hour. Is that a greater concentration than at the beginning? c) Assuming that the concentration is always increasing, what is the highest possible concentration of salt, in pounds per gallon? Page 361 Page 362 1 page left in this chapter

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