Answer:
16
Step-by-step explanation:
A direct variation equation has the following format:
[tex]y=kx[/tex]
Where k is the constant of proportionality.
Therefore, we want to find k.
We know that when x=5, y=8. Substitute the values:
[tex]8=5k[/tex]
Divide both sides by 5:
[tex]k=\frac{8}{5}[/tex]
Thus, the constant of proportionality is 8/5 or 1.6. So, our equation is:
[tex]y=\frac{8}5x[/tex]
To find y when x is 10, plug in 10:
[tex]y=\frac{8}{5}(10)\\y=80/5=16[/tex]
Thus, y is 16.
