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Variation and Problem Solving

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Question
Answer
show k=1/5 y=1/5x  
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show k=1/9 y=1/9x  
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If the y varies directly as x, find the constant of variation (k) and the direct variation equation if y=75 when x=15   show
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show k=120 y=120/x  
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show k=250 y=250/x  
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show k=8 y=8/x  
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Find the constant of variation (k) and the variation equation: y varies jointly as x and the cube of z; y=120 when x=5 and z=2   show
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Suppose x varies jointly with y and the square root of z. When x=-18 and y=2, then z=9. Find y when x=10 and z=4   show
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show k=6 z=8  
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Beam: 1/2 ft wide, 1/3 ft high, 10 ft long; supports 12 tons Beam: 2/3 ft wide, 1/2 ft high, 16 ft long; supports ?   show
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show k=13.5 y=27/16  
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