Question

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

Answer 1

It is gvien that y varies inversely as x.

The relation between x and y in mathematical expressin is given as.

`y=(k)/(x)`

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 ,

`11=(k)/(8)`
`k=88.`

Now , substitute the value of k in the mathematical expression and value of x which is 10, to find the value of y.

`y=(88)/(10)`
`y=8.8`

Thus the value of y is 8.8 when x is 10.