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.
The equation that models the relationship can be written as:
y = k * (w * x) / z
where k is the constant of variation.
To find the value of k, we can substitute the values of y, w, x, and z into the equation:
540 = k * (15 * 30) / 5
540 = k * 450
k = 540 / 450
k = 1.2
Therefore, the equation that models the relationship is:
y = 1.2 * (w * x) / z