y varies directly as the cube of x and inversely as the square of z.

Question

If y is 30 when x is 2 and z is 4:

b) Find the equation that models this data.

c) Find the value of y when x is 3 and z is 2.

Answer 1

y = kx^3/z^2 -->y varies directly as the cube of x and inversely as the square of z.

Hopefully you can take it from here to answer your two-part question.