z varies directly with x and inversely with y. When x = 6 and y = 2, z = 15. Write the function that models the variation. Then, find z when x = 4 and y = 9. Write answer in a/b form if necessary.

z = __?__

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y=kx/z

k=yz/x=6

y=6x/z

z=kx/y

z=24/9=8/3

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