Answer: y=18
Explanation:
We see "varies directly", we use:
y=kx
To find k, we use y=9 when x=8:
We plug in what we know.
y=kx
9=k(8)
Simplify
k=9/8
So, our equation is:
[tex]y=\frac{9}{8}x[/tex]Now, to find y, we use x=16. So,
[tex]\begin{gathered} y=\frac{9}{8}x \\ =\frac{9}{8}(16_{}) \\ \text{Calculate} \\ y=18 \end{gathered}[/tex]Therefore, the value of y is 18.