suppose that y varies jointly with w and x and inversely with z and when w=15 x=20 and z = 5 y = 420
To find the equation that represents the relationship between y, w, x, and z, we can set up the equation for joint variation:
y = k * (w * x) / z
Where k is the constant of variation.
Given that when w=15, x=20, z=5, and y=420, we can plug these values into the equation to find the value of k:
420 = k * (15 * 20) / 5
420 = k * 300 / 5
420 = 60k
k = 420 / 60
k = 7
Therefore, the equation that represents the relationship between y, w, x, and z is:
y = 7 * (w * x) / z
So, y varies jointly with w and x and inversely with z.