The square of y varies directly as the cube of x. When x = 4, y = 2. Which equation can be used to find other combinations of x and y? A. y^2 = 1/16x^3
B. y=1/2x
C. xy=8
D. x^3y^2 = 128

A

Step-by-step explanation:

Given y² varies directly as x³ then the equation relating them is

y² = kx³ ← k is the constant of variation

To find k use the condition when x = 4, y = 2

2² = 4³k , that is

4 = 64k ( divide both sides by 64 )

= k , that is

k =

y² = x³ → A

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step-by-step explanation: