Answer:
[tex]y=\frac{2}{3}[/tex]
Step-by-step explanation:
It has been given that y varies directly as x
Thus, we have
y = kx, where k is constant of proportionality.
Now, y = 6, x = 72.
Substituting these values in above equation and find k
[tex]6=72k[/tex]
Divide both sides by 72
[tex]k=\frac{6}{72}\\\\k=\frac{1}{12}[/tex]
Now, we have to find y when x = 8
[tex]y=\frac{1}{12}\times8\\\\y=\frac{2}{3}[/tex]
Therefore, the value of y is [tex]\frac{2}{3}[/tex]
