Question

Write an equation that describes the following relationship: y varies jointly as x, z, and w and when x=3, z=3, w=3, then y=135

Answer 1

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:

`y=\text{kwxz}`

When x=3, z=3, w=3, and y=135:

`\begin{gathered} y=\text{kwxz} \\ 135=k(3)(3)(3) \\ \text{Simplify and rearrange} \\ 135=k(27) \\ k=(135)/(27) \\ k=5 \end{gathered}`

Therefore, the answer is:

`y=5\text{wxz}`