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, \(x =\frac{20}{7} =2 \frac{6}{7}\)
