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When a Quantity of Sugar Is Placed in a Container

Question 66

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When a quantity of sugar is placed in a container of water, the sugar dissolves at a rate proportional to the amount of sugar remaining undissolved. Suppose that 30 g of sugar is placed in 1 L of water and that 5 minutes later the concentration of sugar dissolved in the water is 25 g/L.Find a formula for A(t) , the amount of sugar that is dissolved t minutes after the sugar was placed in the water.


A) A(t) = 30 When a quantity of sugar is placed in a container of water, the sugar dissolves at a rate proportional to the amount of sugar remaining undissolved. Suppose that 30 g of sugar is placed in 1 L of water and that 5 minutes later the concentration of sugar dissolved in the water is 25 g/L.Find a formula for A(t) , the amount of sugar that is dissolved t minutes after the sugar was placed in the water. A)  A(t)  = 30   g B)  A(t)  = 30   g C)  A(t)  = 30   g D)  A(t)  = 30   g E)  A(t)  = 30   g g
B) A(t) = 30 When a quantity of sugar is placed in a container of water, the sugar dissolves at a rate proportional to the amount of sugar remaining undissolved. Suppose that 30 g of sugar is placed in 1 L of water and that 5 minutes later the concentration of sugar dissolved in the water is 25 g/L.Find a formula for A(t) , the amount of sugar that is dissolved t minutes after the sugar was placed in the water. A)  A(t)  = 30   g B)  A(t)  = 30   g C)  A(t)  = 30   g D)  A(t)  = 30   g E)  A(t)  = 30   g g
C) A(t) = 30 When a quantity of sugar is placed in a container of water, the sugar dissolves at a rate proportional to the amount of sugar remaining undissolved. Suppose that 30 g of sugar is placed in 1 L of water and that 5 minutes later the concentration of sugar dissolved in the water is 25 g/L.Find a formula for A(t) , the amount of sugar that is dissolved t minutes after the sugar was placed in the water. A)  A(t)  = 30   g B)  A(t)  = 30   g C)  A(t)  = 30   g D)  A(t)  = 30   g E)  A(t)  = 30   g g
D) A(t) = 30 When a quantity of sugar is placed in a container of water, the sugar dissolves at a rate proportional to the amount of sugar remaining undissolved. Suppose that 30 g of sugar is placed in 1 L of water and that 5 minutes later the concentration of sugar dissolved in the water is 25 g/L.Find a formula for A(t) , the amount of sugar that is dissolved t minutes after the sugar was placed in the water. A)  A(t)  = 30   g B)  A(t)  = 30   g C)  A(t)  = 30   g D)  A(t)  = 30   g E)  A(t)  = 30   g g
E) A(t) = 30 When a quantity of sugar is placed in a container of water, the sugar dissolves at a rate proportional to the amount of sugar remaining undissolved. Suppose that 30 g of sugar is placed in 1 L of water and that 5 minutes later the concentration of sugar dissolved in the water is 25 g/L.Find a formula for A(t) , the amount of sugar that is dissolved t minutes after the sugar was placed in the water. A)  A(t)  = 30   g B)  A(t)  = 30   g C)  A(t)  = 30   g D)  A(t)  = 30   g E)  A(t)  = 30   g g

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