Answer:
Y=77/x
Explanation:
Y varies inversely with x meaning
[tex]y\propto\frac{1}{x}[/tex]adding a proportionality constant gives
[tex]y\propto\frac{k}{x}[/tex]Now, we are told that y = 11 and x = 7; therefore, the above gives
[tex]11=\frac{k}{7}[/tex]Solving for k gives
[tex]k=77[/tex]Therefore, the function that models the inverse variation is
[tex]y=\frac{77}{x}[/tex]which is our answer!
