Question

What equation represents the proportional relationship displayed in the table? x = 6y y = 6x y = x + 6 y = 4x + 24

Answer 1

From the table, the value of y is 6 times grater than the value of x.

Take x=4 and y=24,

`(y)/(x)=(24)/(4)=6`

Take x=7 and y=42.

`(y)/(x)=(42)/(7)=6`

Take x=8 and y=48.

`(y)/(x)=(48)/(8)=6`

From the above expressions,

`\begin{gathered} (y)/(x)=6 \\ y=6x \end{gathered}`

Thus the correct option is y=6x.