From the question we have the given table
The graph can be as shown below
Therefore, the relationship shown by the data is linear
From the graph, the function is can be expressed in the form
[tex]y=mx+c[/tex]
where m = - 1.25, c = - 13.25
Therefore, the relationship is
[tex]y=-1.25x-13.25[/tex]
Simplifying further we have
[tex]\begin{gathered} y=\frac{-125}{100}x-\frac{1325}{100} \\ y=-\frac{5}{4}x-\frac{53}{4} \\ y=-\frac{5}{4}x-\frac{45}{4}-\frac{8}{4} \\ y=-\frac{5}{4}x-\frac{45}{4}-2 \\ y+2=-\frac{5}{4}x-\frac{5}{4}(9) \\ y+2=-\frac{5}{4}(x+9) \end{gathered}[/tex]
Therefore, the relationship is linear with equation
[tex]y+2=-\frac{5}{4}(x+9)[/tex]
