A tank contains 100 gallons of salt water with 40 pounds of salt in the water...

 

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A tank contains 100 gallons of salt water with 40 pounds of salt in the water (total). Pure water begins entering at the rate of 2 gallons per minute and the well-stirred mixture leaves at the Vogal same rate. 1 x=29=1/^ a) Set up the differential equation that models this scenario using S(t) to denote the amount of salt in the tank after t minutes. 847484HOSE 50 45-S 40 35 30 25 20 15 10 5 0 لس 0 (2)1097+(1)205= 50 100 b) Using your differential equation, derive the amount of salt S in the solution as a function of t. 150 200 A tank contains 100 gallons of salt water with 40 pounds of salt in the water (total). Pure water begins entering at the rate of 2 gallons per minute and the well-stirred mixture leaves at the Vogal same rate. 1 x=29=1/^ a) Set up the differential equation that models this scenario using S(t) to denote the amount of salt in the tank after t minutes. 847484HOSE 50 45-S 40 35 30 25 20 15 10 5 0 لس 0 (2)1097+(1)205= 50 100 b) Using your differential equation, derive the amount of salt S in the solution as a function of t. 150 200