Express the rational function that describes the situation. A large mixing tank currently contains 250 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pouring 10 gallons of water per minute into the tank at the same time sugar is poured into the tank at a rate of 3 pounds per minute. Find the concentration (pounds per gallon) of sugar in the tank after t minutes. s(t) = Preview
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Given:
- Total water in tank is 250 gallons
- Total amount of sugar mixed =10 pounds.
- Rate with which water increase in the tank is 10 gallons per minute.
- Rate with which sugar increase in the tank is 3 pounds per minute.
Let the number of minutes since tap is opened is t .
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