Question

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

Answer 1

Given

y varies directly as x , and y = 6 when x = 72

Find

value of y when x is 8

Step-by-step explanation

The direct relation is given by

`y\propto x`

to remove proportionality sign , we use constant of proportionality , k

`y=kx`

given

`\begin{gathered} 6=k(72) \\ k=(1)/(12) \end{gathered}`

so ,

`y=(1)/(12)*8=(2)/(3)`

Final Answer

Therefore , the correct option is b.