Given:
y varies jointly as x, z, and w and when x=3, z=3, w=3, then y=135
To find the equation that describes the given relationship, we find the value of k or constant first. And since y varies jointly as x, z, and w, the formula is:
[tex]y=\text{kwxz}[/tex]
When x=3, z=3, w=3, and y=135:
[tex]\begin{gathered} y=\text{kwxz} \\ 135=k(3)(3)(3) \\ \text{Simplify and rearrange} \\ 135=k(27) \\ k=\frac{135}{27} \\ k=5 \end{gathered}[/tex]
Therefore, the answer is:
[tex]y=5\text{wxz}[/tex]
