ANSWER
When the value of x is 12, then,
[tex]y=1\frac{1}{2} [/tex]
EXPLANATION
The statement, y varies directly as x is written nathematically as [tex]y \propto x[/tex]
If we introduce the constant of proportionality, then we can write the equation,
[tex]y=kx[/tex]
where k is the constant of proportionality. It is also called the constant of variation.
If
[tex]k=\frac{1}{8}[/tex], then the direct variation equation becomes.
[tex]y=\frac{1}{8}x[/tex]
When
[tex]x=12[/tex], then
[tex]y=\frac{1}{8}\times 12[/tex]
This simplifies to
[tex]y=\frac{3}{2} [/tex]
[tex]y=1\frac{1}{2} [/tex]
