ANSWER:
(a) y = x/8
(b) y = 7/8
STEP-BY-STEP EXPLANATION:
Since y varies directly with x, the form of the equation would be:
[tex]y=kx[/tex]a.
we can calculate the value of k, just like this:
[tex]\begin{gathered} 2=k\cdot16 \\ k=\frac{2}{16} \\ k=\frac{1}{8} \end{gathered}[/tex]Therefore, the equation would be:
[tex]y=\frac{1}{8}x[/tex]b.
Now we calculate when x = 7, like this:
[tex]\begin{gathered} y=\frac{1}{8}\cdot7 \\ y=\frac{7}{8} \end{gathered}[/tex]