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,

$\frac{y}{x}=\frac{24}{4}=6$

Take x=7 and y=42.

$\frac{y}{x}=\frac{42}{7}=6$

Take x=8 and y=48.

$\frac{y}{x}=\frac{48}{8}=6$

From the above expressions,

$\begin{gathered} \frac{y}{x}=6 \\ y=6x \end{gathered}$

Thus the correct option is y=6x.