SOLUTION: given that w varies directly as the product of x and y and inversely as the square of z and that w=4, when x=2, y=6 and z=3. Find the w when x=1, y=4 and z=2.

Algebra ->  Test -> SOLUTION: given that w varies directly as the product of x and y and inversely as the square of z and that w=4, when x=2, y=6 and z=3. Find the w when x=1, y=4 and z=2.      Log On


   



Question 763332: given that w varies directly as the product of x and y and inversely as the square of z and that w=4, when x=2, y=6 and z=3. Find the w when x=1, y=4 and z=2.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
W = kXY/z^2
k = constant of variation
To find k
4 = k*2*6/9
k = 9 * 4/12
k = 3
Equation:
W = 3XY/z^2
W = 3*1*4/4
W = 3.