Question

If $a\propto \frac{1}{b}$ and $a=16$ when $b=2$, then find the constant of variation and the equation of variation.

Answer 1

Given, $a\propto \frac{1}{b}$
$\therefore a=\frac{k}{b}$
$\therefore ab=k$
$\therefore k=16\times 2=32$