# 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?

Constant of variation is $48$ and value of y is $6$
y varies inversely as x , so $y \propto \frac{1}{x} \mathmr{and} y = k \cdot \frac{1}{x} \mathmr{and} x \cdot y = k$
Now x=3; y=16 :. 3*16=k or k=48 (k is constant) Hence the equation comes to $x \cdot y = 48 \therefore$ when x = 8 ; y = 48/8=6[Ans]