Question

4 of 84 of 8 Items

02:22

Question
Which table represents a proportional relationship between the x and y values?
Responses
A
x y
−6 7
−3 9
6 3
15 −3x y −6 7 −3 9 6 3 15 −3
B
x y
−3 4
−1 6
1 7
3 10x y −3 4 −1 6 1 7 3 10
C
x y
-3 -12
-2 -8
0 0
4 16x y -3 -12 -2 -8 0 0 4 16
D
x y
−6 −5
−2 1
0 4
8 16

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

To determine if a table represents a proportional relationship between the x and y values, you would look for a constant ratio between the x and y in each ordered pair. A proportional relationship is one in which the ratio of y to x is the same for all pairs in the table.

Let's analyze each option separately:

A) This table does not represent a proportional relationship because there is no consistent ratio between the x and y values.

B) This table does not represent a proportional relationship because the ratio between x and y is not consistent.

C) This table does represent a proportional relationship. If you look at the y values relative to the x values:
- If you divide -12 by -3, you get 4.
- Divide -8 by -2, and you get 4.
- The point (0, 0) is also consistent with a proportional relationship because 0 divided by any number is 0.
- Divide 16 by 4, and you get 4.
Since we consistently get the same result (4), this tells us that the relationship is proportional, with a constant ratio of 4.

D) This table does not represent a proportional relationship because the y to x ratio is inconsistent.

Based on the analysis, Table C is the one that represents a proportional relationship between the x and y values.