Question

The pair of points is on the graph of an inverse variation. Find the missing value.

(5, 4) and (x, 7)

Answer 1

2 6/7

Explanation:

Answer 2

The missing value of
`x =(20)/(7) =2 (6)/(7)`

Step-by-step explanation:

The inverse variation is given by:
`x \propto (1)/(y)`

Now convert this into an equation we must multiply the constant variation k we get,

`x =(k)/(y)`

To find the value of k;

use the coordinates (5,4) , where x =5 and y =4

then,

`5=(k)/(4)` or

`k =5 * 4`

On Simplify, we get:

k = 20

the equation become:
`x=(20)/(y)`

When y =7 we have;

`x= (20)/(7)`

(x ,7) =
`((20)/(7) , 7)`

therefore, the missing value x is,
`x =(20)/(7) =2 (6)/(7)`