A Tank Contains 50 Gallons of Water in Which 2 $A ( t )$

question 30

Multiple Choice

A tank contains 50 gallons of water in which 2 pounds of salt is dissolved. A brine solution containing 1.5 pounds of salt per gallon of water is pumped into the tank at the rate of 4 gallons per minute, and the well-stirred mixture is pumped out at the same rate. Let $A ( t )$ represent the amount of salt in the tank at time t. The correct initial value problem for $A ( t )$ is

• A) \(\frac { d A } { d t } = 6 - 2 A / 25 , A ( 0 ) = 2\)
• B) \(\frac { d A } { d t } = 6 + 2 A / 25 , A ( 0 ) = 2\)
• C) \(\frac { d A } { d t } = 4 + 2 A / 25 , A ( 0 ) = 2\)
• D) \(\frac { d A } { d t } = 1.5 - 2 A / 25 , A ( 0 ) = 0\)
• E) \(\frac { d A } { d t } = 4 - 2 A / 25 , A ( 0 ) = 0\)

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