So,
The inverse variation can be described with the expression:
[tex]y=\frac{k}{x}[/tex]Where k is a constant.
To graph this function, we need to find the value of k first. We can do this replacing the ordered pair x=4 and y=8.
This is:
[tex]8=\frac{k}{4}\to k=32[/tex]Now that we know that k=32, the inverse variation function will be:
[tex]y=\frac{32}{x}[/tex]Now, let's graph it: