Suppose that y varies jointly with w and x and inversely with z and y=400 when w=10, x=25, and z=5. Write the equation that models the relationship.

Answer 1

The equation that models the relationship is:

y = k(w*x/z)

where k is the constant of proportionality. We can find k by substituting the given values into the equation and solving for k:

400 = k(10*25/5)

400 = k(50)

k = 8

Therefore, the equation that models the relationship is:

y = 8(w*x/z)