Respuesta :

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.