If x=yz, 1/2y=w, and z=4w, then, in terms of x, what does "w" equal?
A. √x/8
B. √x/4
C. 4x
D. √4x
E. √8x
just substitute in the values.
w = y/2
y = x/z
z = 4w
w = (x/z)/2 = (x/(4w))/2 = x/8w
w^2 = x/8
so, (A)
check: if z=4,
z=4w, so w=1
1 = y/2, so y=2
x = yz = 2*4 = 8
w = √8/8 = 1, so OK