If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?119OCON54O 96

Given
y varies directly as x , and y = 6 when x = 72
Find
value of y when x is 8
Explanation
The direct relation is given by
[tex]y\propto x[/tex]to remove proportionality sign , we use constant of proportionality , k
[tex]y=kx[/tex]given
[tex]\begin{gathered} 6=k(72) \\ k=\frac{1}{12} \end{gathered}[/tex]so ,
[tex]y=\frac{1}{12}\times8=\frac{2}{3}[/tex]Final Answer
Therefore , the correct option is b.