suppose that y varies jointly with w and x inversely with z and w=15, x=20, and z=5, y=420. Write the equation that models the relationship
Since y varies jointly with w and inversely with z, we can write the equation as:
y = k * (w * x) / z
where k is the constant of variation. Plugging in the given values w=15, x=20, z=5, and y=420, we can solve for k:
420 = k * (15 * 20) / 5
420 = 300k / 5
420 = 60k
k = 420 / 60
k = 7
Therefore, the equation that models the relationship is:
y = 7 * (w * x) / z