Posted by **Ally** on Sunday, October 23, 2011 at 9:58pm.

y varies directly as the third power x and inversely as Z. If y=16 when x=4 and z=8,find y when x=9 and z=6

- College Algebra -
**Jai**, Sunday, October 23, 2011 at 10:15pm
y = (kx^3)/z

substituting the given values to find the constant k,

16 = k(4^3)/8

16 = k(64)/8

16 = 8k

k = 2

therefore,

y = (2x^3)/z

if x = 9 and z = 6,

y = 2*(9^3)/6

y = 243

hope this helps~ :)

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