Inverse Variation help?

Algebra
Tutor: None Selected Time limit: 1 Day

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 = __?__

Jun 30th, 2015

Thank you for the opportunity to help you with your question!

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

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 30th, 2015

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