Question

3.

x	y
3	2
6	4
9	6
12	8

graph with coordinate plane (x-axis: -2 to 12, y-axis: 0 to 12) and plotted points
proportional: yes (no) “no” circled

Explanation:

Step1: Check ratios of \( y/x \)

For \( (3,2) \): \( \frac{2}{3} \)
For \( (6,4) \): \( \frac{4}{6}=\frac{2}{3} \)
For \( (9,6) \): \( \frac{6}{9}=\frac{2}{3} \)
For \( (12,8) \): \( \frac{8}{12}=\frac{2}{3} \)

Step2: Analyze proportionality

All ratios are equal (\( \frac{2}{3} \)), so \( y \) is proportional to \( x \) (passes through origin as ratio is constant).

Answer:

Yes, the relationship is proportional. The constant of proportionality is \( \frac{2}{3} \) (or \( y = \frac{2}{3}x \)).