write an equation for the given relationship: z varies directly with the square of x and inversely with y

Answer 1

There are an infinite number of equations that meet the given criteria. When two variables or expressions vary directly, when one gets bigger, so does the other. When two variables or expressions vary indirectly, when one gets bigger, the other gets smaller.

x²

z = ____

y

Answer 2

In symbols that is:

zy = kx²