Question

drag and drop the constant of proportionality into the box to match the table. if the table is not proportional, drag and drop
ot proportional\ into the box. x: 2, 4, 6, 8; y: 0, 2, 4, 6. options: 0.5, 3, not proportional, 2, 2/3

Explanation:

Step1: Check proportionality condition

For proportional relationships, $\frac{y}{x}$ must be constant for all non-zero $x$, and the line must pass through $(0,0)$. Here, when $x=2$, $y=0$, so $\frac{y}{x}=0$; when $x=4$, $y=2$, so $\frac{y}{x}=\frac{2}{4}=0.5$. The ratios are not equal.

Step2: Verify linear vs proportional

The relationship is linear ($y = x - 2$) but does not satisfy $y=kx$ (since it does not pass through the origin in a proportional way, as the ratio $\frac{y}{x}$ is not consistent).

Answer:

not proportional