A bathtub contains 65 gallons of water and the total weight of the tub and water is approximately 931.925 pounds. You pull the plug and the water begins to drain. Let v v represent the number of gallons of water that has drained from the tub since the plug was pulled. Note that water weights 8.345 pounds per gallon. Write an expression in terms of v v that represents the weight of the water that has drained from the tub (in pounds).

So, we are looking for an expression of the amount of water that has been drained from the tub. The expression is in terms of v that represent the number of gallons of water drained since the plug was pulled. Since we are interested in the pounds of water that has been drained from the tub we need to take into account that for every gallon of water drained, 8.345 pounds have left the tub. Therefore, the expression for the weight of water Q that has been drained from the tub in terms of v is simply :

[tex]Q = 8,345 * v[/tex]

Where v is the amount of gallons that has been drained from the tub.

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