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# z varies directly with y and inversely with w and x2. When y=12, w=2, and x= - 2, z= - 18. What is the equation of variation?

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z varies directly with y and inversely with w and x2. When y=12, w=2, and x= - 2, z= - 18. What is the equation of variation?

Guest Mar 23, 2015

#1
+85759
+5

z =( k y ) / (w* x)    we need to solve for k.....the constant of  proportionality

So we have

-18 = k (12) / (2 * -2)

-18 = k (-3)     divide both sides by -3

6 = k

So, the equation is

z = (6y) / (w*x)

CPhill  Mar 23, 2015
Sort:

#1
+85759
+5

z =( k y ) / (w* x)    we need to solve for k.....the constant of  proportionality

So we have

-18 = k (12) / (2 * -2)

-18 = k (-3)     divide both sides by -3

6 = k

So, the equation is

z = (6y) / (w*x)

CPhill  Mar 23, 2015

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