Suppose that y varies jointly with w and x and inversely with z and y = 540 when w = 15, x = 30, and z = 5. Write the equation that models the relationship...

y = kwx/z

Solving for k using the given values:
540 = k * 15 * 30 / 5
540 = 450k
k = 540/450
k = 1.2

Therefore, the equation that models the relationship is:
y = 1.2wx/z

that is incorrect

I apologize for the mistake. Let's correct that.

Since y varies jointly with w and x and inversely with z, the equation that models the relationship is:

y = kwx/z

Using the given values:
540 = k * 15 * 30 / 5
540 = 450k
k = 540 / 450
k = 1.2

Therefore, the correct equation that models the relationship is:
y = 1.2wx/z