Question

Select the correct answer. 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?

Answer 1

y = (2/64)x^3

Explanation:

y = (2/64)x^3

Substitute in the given values:

When x = 4, y = (2/64)(4^3)

y = 2

Therefore, the equation is correct. To find other combinations of x and y, simply substitute different values for x in the equation and solve for y.

For example, when x = 3,

y = (2/64)(3^3)

y = (2/64)(27)

y = 1.5