SOLUTION: Find an equation of combined variation. Then solve for the missing value. w varies directly as x and inversely as y. One set of values is w = 3, x = 18, and y = 4. Find w when x

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Question 1057348: Find an equation of combined variation. Then solve for the missing value.
w varies directly as x and inversely as y.
One set of values is w = 3, x = 18, and y = 4.
Find w when x = 12 and y = 4.
Found 2 solutions by Cromlix, MathTherapy:
Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!
Hi there,
w varies directly as x and inversely as y.
w = kx/y
k is the constant of proportion.
To find k use first set of values.
3 = k18/4
Cross multiply.
k18 = 12
k = 12/18
k = 0.67 (2 decimal places)
Formula:
w = 0.67x/y
Using the formula:
w = 0.67x/y
w = (0.67 * 12)/4 (* = times)
w = 2.01 (2 decimal places)
Hope this helps :-)

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Find an equation of combined variation. Then solve for the missing value.
w varies directly as x and inversely as y.
One set of values is w = 3, x = 18, and y = 4.
Find w when x = 12 and y = 4.




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9k = 6 ------- Cross-multiplying







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