Sunday

January 25, 2015

January 25, 2015

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!

**Answer this Question**

**Related Questions**

Pre Cal - If x varies directly as y62, inversely as z, and inversely as the ...

Inverse Variation - Help me please.. Explain also :( 1. E is inversely ...

variation - Can you please check my answers? Thanxs! Write an equation that ...

variation - Can you please check my answers? Thanxs! Write an equation that ...

Variation-Check Problems - Can you please check my answers? Thanxs! Write an ...

Check my answers. Algebra - Can you please check my answers? Thanxs! Write an ...

precalculus - the variable j varies jointly as the square of h and as the cube ...

Algebra II - If y varies directly as the square root of w and inversely as the ...

Alegra II - If y varies directly as the cube of x and inversely as the square ...

algebra - Express the statement as a formula that involves the variables w, z, ...