In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
x 1/2 3/2 5/2 3 5
y 24 8 24/5 4 12 / 5
Step 02:
The variation is inverse.
Step 03:
Graph
[tex]\frac{\Delta y}{\Delta x}=\frac{y2-y1}{x2-x1}=\frac{24-8}{0.5-1.5}=\frac{16}{-1}[/tex]y = - 16 x
That is the solution.