Answer:
The constant of variation is [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
In order to find the constant of variation we have:
[tex]y=kx[/tex]
Therefore
[tex]k=\frac{y}{x}[/tex]
Now, we have the point (5,8); its coordinates are:
[tex](x,y) = (5,8)[/tex]
Therefore:
[tex]x=5\\y=8[/tex]
Replacing values:
[tex]k=\frac{y}{x}=\frac{8}{5}[/tex]
