Answer
$k=700$, $y=\frac{700}{x}$
Work Step by Step
If y varies inversely as x, we know that the variables x and y can be related by the function $y=\frac{k}{x}$, where k is the constant of proportionality.
If $y=100$ when $x=7$, then we know that $100=\frac{k}{7}$. Multiply both sides by 7.
$k=100\times7=700$
Therefore, the constant of variation is $k=700$ and the inverse variation equation is $y=\frac{700}{x}$.
