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~ :)

## Answer this Question

## Related Questions

- Algebra II - 1. If y varies directly as x, and y=30 when x=4, find the constant ...
- Check my answers. Algebra - Can you please check my answers? Thanxs! Write an ...
- variation - Can you please check my answers? Thanxs! Write an equation that ...
- variation - Can you please check my answers? Thanxs! Write an equation that ...
- Variation-Check Problems - Can you please check my answers? Thanxs! Write an ...
- Algebra 2- Variation - If w varies directly as r and inversely as the square of ...
- Algebra 2 - Find an equation of variation where y varies directly as x and ...
- Algebra 2 - Find an equation of variation where y varies directly as x and ...
- algebra - I do not know where to start with this one. Suppose p varies directly ...
- Algebra - Suppose that y varies directly with x and inversely with zy=25 when x=...