Answer:
40.5
Step-by-step explanation:
if y varies jointly as the square of x and the cube of z and inversely as the square root of w, this is expressed as;
y ∝ x²z³/√w
y = kx²z³/√w
If x = 2, z = 2, y = 12 and w = 64
Substitute;
12 = k (2)²(2)³/√64
12 = 32k/8
12 = 4k
k = 12/4
k = 3
To get y when x = 1, z = 3, and w = 4.
y = 3 (1)²(3)³/√4
y = (3*27)/2
y = 81/2
y = 40.5
Hence the value of y is 40.5
