Question

Determine if the relationship below is an example of a proportional or non- proportional relationship.

Y axes: 1.2.3.4.5.6.7.8.9.10
X axes: 2.2. 2.7. 4.4 6.8. 9.2

Answer 1

Answer: non-proportional

Explanation:

To determine if a relationship is proportional or non-proportional, you can look at the ratio of
`\( (y)/(x) \)` for each pair of
`\( (x, y) \)` coordinates. If the ratio is constant across all pairs, then the relationship is proportional. If the ratio varies, then the relationship is non-proportional.

Let's calculate the
`\( (y)/(x) \)` ratio for each pair:

1.
`\( (1)/(2.2) \approx 0.4545 \)`

2.
`\( (2)/(2.2) \approx 0.9091 \)`

3.
`\( (3)/(2.7) \approx 1.1111 \)`

4.
`\( (4)/(4.4) \approx 0.9091 \)`

5.
`\( (5)/(6.8) \approx 0.7353 \)`

6.
`\( (6)/(9.2) \approx 0.6522 \)`

7.
`\( (7)/(?) \) (missing x-value)`

8.
`\( (8)/(?) \) (missing x-value)`

9.
`\( (9)/(?) \) (missing x-value)`

10.
`\( (10)/(?) \) (missing x-value)`

As you can see, the
`\( (y)/(x) \)` ratio is not constant across the given pairs. Therefore, the relationship is non-proportional.