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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z=kx as z varies directly with x

zy=m as z varies inversely with y

when x= 6 z= 15

15/6=k

k=5/2

when y=2 z =15

m=30

For x=4

z=5/2 *4

=10

For y= 9

z=30/9

=10/3

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