Answer:
Option (a).
Step-by-step explanation:
The value of y varies directly with x. It would mean that,
y=kx, where k is constant
When
[tex]y=2\dfrac{4}{7},x=\dfrac{3}{7}\\\\y=\dfrac{18}{7}, x = \dfrac{3}{7}[/tex]
then,
[tex]\dfrac{18}{7}=k\times \dfrac{3}{7}\\\\k=6[/tex]
When x = 27,
[tex]y=6\times \dfrac{2}{7}\\\\y=\dfrac{12}{7}\\\\\text{or}\\\\y=1\dfrac{5}{7}[/tex]
So, the value of y is [tex]1\dfrac{5}{7}[/tex] when x is 27.