we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
[tex]y*x=k \ or\ y=k/x[/tex]
in this problem we have that
the value of the constant K is equal to [tex]8[/tex]
so
[tex]PV=8[/tex]
Solve for V
[tex]V=8/P[/tex]
Find the value of V for [tex]P=4[/tex]
substitute the value of P in the formula
[tex]V=8/4=2[/tex]
therefore
the answer is
the value of V is equal to [tex]2[/tex]
