A tank contains 500 gallons of water with 100 gallons of pollution dissolved in it. Polluted water containing 2 lb of sludge per gallon enters the tank at a rate of 4 gallons/hour. The solution is thoroughly mixed and drains from the tank at a rate of 5 gallon/hour. Find a formula for the concentration of pollutants at time t. Sketch the graph of the concentration over time (you are welcome to use a graphing calculator), clearly showing the valid domain for your solution.

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