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December 18, 2014

December 18, 2014

Posted by **Marie** on Thursday, February 22, 2007 at 12:14am.

if x varies directly as y^2, inversely as z, and inversely as the square root of w, what happens to x when y is multiplied by 3, z is doubled, and w is quadrupled?

I would really appriciate it if someone could help me understand how to do this problem. Thank you!

x = C y^2 z^-1 w^(-1/2)

C is a constant. Increasing y by a factor of three causes x to increase by a factor of 3^2 = 9. Doubling z causes x to decrease by a factor of 2. Quadrupling w doubles its square root, so the decrease in x is a factor of 1/2. Multiply the factors together: 9 x (1/2) x (1/2) and see what you get for the overall factor that x is increased.

thanks so much!

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