If y varies inversely as x, and y = 11 when x = 8, find y when x = 10

It is gvien that y varies inversely as x.
The relation between x and y in mathematical expressin is given as.
[tex]y=\frac{k}{x}[/tex]The value of y is 11 when x is 8 , we have to determine the value of y when x is 10.
Apply the mathematical expression and substitute the value of x and y ,
[tex]11=\frac{k}{8}[/tex][tex]k=88.[/tex]Now , substitute the value of k in the mathematical expression and value of x which is 10, to find the value of y.
[tex]y=\frac{88}{10}[/tex][tex]y=8.8[/tex]Thus the value of y is 8.8 when x is 10.