Suppose x is directly proportional to y, but inversely proportional to z. If x = 3 when y = 6 and z = 4, then what is z when y = 3?
\(x = c y\\ x = \dfrac d z\)
\(x=3, y=3 \Rightarrow c = 2\\ x = 3, z=4 \Rightarrow d = 12\)
\(y=3 \Rightarrow x = 6 \Rightarrow z=2\)
