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,

$\begin{gathered} k=\frac{3-0}{1-0} \\ =3 \end{gathered}$

Which remain constant.

The slope of the second box is varying as,

$\begin{gathered} \frac{4-0}{2-0}\ne\frac{8-4}{3-2} \\ 2\ne4 \end{gathered}$

It means the above option is wrong.

The slope of the third box is aslo varying as,

$\begin{gathered} \frac{2-0}{1-0}\ne\frac{6-2}{2-1} \\ 2\ne4 \end{gathered}$

Thus, the first option is correct.