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.
A. y = 6x/wz
B. y = x/6wz
C. y = 6wx/z
D. y = z/6wx
We can write the equation that models the relationship as:
y = kwx/z
where k is the constant of variation.
Using the given values when y = 540, w = 15, x = 30, and z = 5:
540 = k * 15 * 30 / 5
540 = k * 450
k = 540 / 450
k = 1.2
Thus, the equation that models the relationship is:
y = 1.2wx/z
Therefore, none of the given options are correct. The correct equation that models the relationship is:
A. y = 1.2wx/z