Suppose Z Varies Directly as the Square of X and Inversely

Multiple Choice

Suppose z varies directly as the square of x and inversely as y. If x is halved and y is tripled, what happens to z?

A) z is one-sixth as large as before
B) z is six times as large as before
C) z is multiplied by $\frac { 3 } { 2 }$
D) z is one-twelfth as large as before