Given, y varies directly as x
So,
[tex]y=c\cdot x[/tex]Where c is a constant
When y equals 5 when x is 8
So,
[tex]\begin{gathered} 5=c\cdot8 \\ c=\frac{5}{8} \\ \end{gathered}[/tex]So, the relation between y and x
[tex]y=\frac{5}{8}x[/tex]now , when x = 9
Substitute with x to find y
[tex]y=\frac{5}{8}\cdot9=\frac{45}{8}[/tex]So, the answer is option 2. y = 45/8
