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Recall the following context. A metal tank begins filling with water, and there is a constant rate of change of the tank and water's weight
Recall the following context. A metal tank begins filling with water, and there is a constant rate of change of the tank and water's weight (in pounds) with respect to the volume of water in the tank (in gallons). The constant rate is 8.35 pounds per gallon and the tank weighs 22.6 pounds when empty. Let w represent the weight of the tank and water together (in pounds). Let v represent the volume of water in the tank (in gallons). w is a function of v , and we will call this function f . So f ( v ) = w , and the formula is f ( v ) = 8.35 v + 22.6 . If we instead want to know the volume of water in the tank when the total combined weight is 236.36 pounds then we want to know the value for v such that f ( v ) = 236.36 . The steps are shown below. Steps of solving the equation f(v) = 8.35*v+22.6 for v Correct Score on last attempt: 1 out of 1 Score in gradebook: 1 out of 1 In Steps 2 and 3 we find the difference 236.36 22.6 , which is 213.76. What does this number represent? The weight of just the water in the tank (in pounds) The combined weight of the water and tank (in pounds) The maximum volume of water the tank can hold (in gallons) The volume of water in the tank (in gallons) Correct In Steps 4 and 5 we divide 213.76 by 8.35, which is 25.6. What does this number represent? The weight of just the water in the tank (in pounds) The combined weight of the water and tank (in pounds) The volume of water in the tank (in gallons) The maximum volume of w
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