Question

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

Answer 1

Answer:

The missing value of $x =\frac{20}{7} =2 \frac{6}{7}$

Step-by-step explanation:  

The inverse variation is given by:  $x \propto \frac{1}{y}$

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

$x =\frac{k}{y}$

To find the value of k;

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

then,

$5=\frac{k}{4}$ or

$k =5 \times 4$

On Simplify, we get:

k = 20

the equation become:  $x=\frac{20}{y}$

When y =7 we have;

$x= \frac{20}{7}$  

(x ,7) = $(\frac{20}{7} , 7)$

therefore, the missing value x is, $x =\frac{20}{7} =2 \frac{6}{7}$