Respuesta :

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.

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