The value of y varies directly with x. When y= 2 4/7, x= 37 .

What is the value of y when x is 27 ?


1 5/7

2 3/7

3 1/7

3 4/7

Respuesta :

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.