College Algebra

posted by .

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 -

    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~ :)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Variation-Check Problems

    Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s
  2. variation

    Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s
  3. variation

    Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s
  4. Check my answers. Algebra

    Can you please check my answers? Thanxs! Write an equation that expresses the relationship. Use k as the constant of variation. 20. f varies jointly as b and the square of c. -I got: f=kbc^2 22. r varies jointly as the square of s
  5. Algebra II

    1. If y varies directly as x, and y=30 when x=4, find the constant of proportionality. 2. If y varies inversely as x, and y=2 when x=10, find x when y=4. 3. If a varies jointly as b and c, and a=-10, when b=12 and c=2, find a when …
  6. Algebra 2

    Find an equation of variation where y varies directly as x and inversely as the square of w, and y=24 when x=8 and w=3.
  7. Algebra 2

    Find an equation of variation where y varies directly as x and inversely as the square of w, and y=24 when x=8 and w=3.
  8. Algebra 2- Variation

    If w varies directly as r and inversely as the square of p, if w= 25 when r=5 and p=4, find r when w=16 and p=8
  9. Pre-Algebra

    If y varies directly with x, find the constant of variation with x = 4 and y = -24 If y varies inversely with x, find the constant of variation with x=5 and y = 10 If y varies directly with x, and y = 35 when x = 5 , find x when y …
  10. Math/Algebra

    Im stuck on two problems and would really appreciate the help. 1. y varies jointly as a and b, and inversely as the square root of c. y=28 when a=2, b=7, and c=9. Find y when a=4, b=2, and c=4 2. y varies directly as x and inversely …

More Similar Questions