Question
Which of these tables show a proportional relationship? A and B only C and D only B and C only A and D only
Answers
GPT 3.5
To determine if there is a proportional relationship between two quantities, we need to check if the ratio between the values in each table is consistent.
A:
x | y
1 | 2
2 | 4
3 | 6
The ratio of y to x is always 2:1. Therefore, Table A shows a proportional relationship.
B:
x | y
1 | 3
2 | 8
3 | 15
The ratios of y to x are not consistent, so Table B does not show a proportional relationship.
C:
x | y
2 | 4
4 | 8
6 | 12
The ratio of y to x is always 2:1. Therefore, Table C shows a proportional relationship.
D:
x | y
1 | 3
2 | 6
4 | 9
The ratios of y to x are not consistent, so Table D does not show a proportional relationship.
From the analysis above, we can conclude that the tables showing a proportional relationship are A and C.
A:
x | y
1 | 2
2 | 4
3 | 6
The ratio of y to x is always 2:1. Therefore, Table A shows a proportional relationship.
B:
x | y
1 | 3
2 | 8
3 | 15
The ratios of y to x are not consistent, so Table B does not show a proportional relationship.
C:
x | y
2 | 4
4 | 8
6 | 12
The ratio of y to x is always 2:1. Therefore, Table C shows a proportional relationship.
D:
x | y
1 | 3
2 | 6
4 | 9
The ratios of y to x are not consistent, so Table D does not show a proportional relationship.
From the analysis above, we can conclude that the tables showing a proportional relationship are A and C.