A bag of sand originally weighing 144 lb was lifted at a constant rate. As it rose, sand also leaked out at a constant rate. The sand was half gone by the time the bag had been lifted to 18 ft. How much work was done lifting the sand this far? (Neglect the weight of the bag and lifting equipment.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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A bag of sand originally weighing 144 lb was
lifted at a constant rate. As it rose, sand also leaked out at a constant
rate. The sand was half gone by the time the bag had been
lifted to 18 ft. How much work was done lifting the sand this far?
(Neglect the weight of the bag and lifting equipment.)

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What does the 4x represent in the equation? Does it change if the weight of the bag is 95lb?

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