Suppose that z varies jointly with the cube of x and the square of y.

Question

Find the constant of proportionality k if z = 28000 when y = 8 and x = 5.

k= _____

Using the k from above write the variation equation in terms of x and y.

z= _____

Using the k from above find z given that y = 19 and x = 13.

z= _____

If needed, round answer to 3 decimal places.

Answer 1

z = kx³y²

28000 = (k)(125)(64)

28000 = 8000k

3.5 = k

Can you complete and answer?