posted by Marie on .
Ooops! I wrote it wrong, here's the problem:
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!