Question

Select the table that represents a proportional relationshop between x and y.

Answer 1

Given data:

The given tables is shown.

The standard expression for the proportional relationship is,

`y=kx`

Here, k is the slope of the expression.

The slope of the first box is,

`\begin{gathered} k=(3-0)/(1-0) \\ =3 \end{gathered}`

Which remain constant.

The slope of the second box is varying as,

`\begin{gathered} (4-0)/(2-0)\\e(8-4)/(3-2) \\ 2\\e4 \end{gathered}`

It means the above option is wrong.

The slope of the third box is aslo varying as,

`\begin{gathered} (2-0)/(1-0)\\e(6-2)/(2-1) \\ 2\\e4 \end{gathered}`

Thus, the first option is correct.