Question

If y varies inversely as x. When y = 16, x = 3. How do you find the constant of variation and determine the value for y when x = 8?

Answer 1

Constant of variation is `48` and value of y is `6`

Explanation:

y varies inversely as x , so `y prop 1/x or y = k* 1/x or x*y=k`
Now `x=3; y=16 :. 3*16=k or k=48` (k is constant) Hence the equation comes to `x*y=48 :.` when `x = 8 ; y = 48/8=6`[Ans]