Question
Which relation is displayed in this table?
Responses
{(2, 1), (4, 3), (6, 5), (8,7)}
left bracket begin ordered pair 2 comma 1 end ordered pair comma begin ordered pair 4 comma 3 end ordered pair comma begin ordered pair 6 comma 5 end ordered pair comma begin ordered pair 8 comma 7 end ordered pair right bracket
{(1, 2), (3, 4), (5, 6), (7, 8)}
left bracket begin ordered pair 1 comma 2 end ordered pair comma begin ordered pair 3 comma 4 end ordered pair comma begin ordered pair 5 comma 6 end ordered pair comma begin ordered pair 7 comma 8 end ordered pair right bracket
{(1, 2), (3, 4), (5, 6), (8, 7)}
left bracket begin ordered pair 1 comma 2 end ordered pair comma begin ordered pair 3 comma 4 end ordered pair comma begin ordered pair 5 comma 6 end ordered pair comma begin ordered pair 8 comma 7 end ordered pair right bracket
{(2, 1), (4, 3), (6, 5), (7,8)}
left bracket begin ordered pair 2 comma 1 end ordered pair comma begin ordered pair 4 comma 3 end ordered pair comma begin ordered pair 6 comma 5 end ordered pair comma begin ordered pair 7 comma 8 end ordered pair right bracket
x y
1 2
8 7
5 6
3 4
Responses
{(2, 1), (4, 3), (6, 5), (8,7)}
left bracket begin ordered pair 2 comma 1 end ordered pair comma begin ordered pair 4 comma 3 end ordered pair comma begin ordered pair 6 comma 5 end ordered pair comma begin ordered pair 8 comma 7 end ordered pair right bracket
{(1, 2), (3, 4), (5, 6), (7, 8)}
left bracket begin ordered pair 1 comma 2 end ordered pair comma begin ordered pair 3 comma 4 end ordered pair comma begin ordered pair 5 comma 6 end ordered pair comma begin ordered pair 7 comma 8 end ordered pair right bracket
{(1, 2), (3, 4), (5, 6), (8, 7)}
left bracket begin ordered pair 1 comma 2 end ordered pair comma begin ordered pair 3 comma 4 end ordered pair comma begin ordered pair 5 comma 6 end ordered pair comma begin ordered pair 8 comma 7 end ordered pair right bracket
{(2, 1), (4, 3), (6, 5), (7,8)}
left bracket begin ordered pair 2 comma 1 end ordered pair comma begin ordered pair 4 comma 3 end ordered pair comma begin ordered pair 6 comma 5 end ordered pair comma begin ordered pair 7 comma 8 end ordered pair right bracket
x y
1 2
8 7
5 6
3 4
Answers
GPT-4o mini
The given table displays a relation between two sets of numbers (x-values and y-values) through ordered pairs. Let's analyze the relation:
Based on the ordered pairs provided:
1. The first set of ordered pairs: {(2, 1), (4, 3), (6, 5), (8, 7)}
2. The second set of ordered pairs: {(1, 2), (3, 4), (5, 6), (7, 8)}
3. The third set of ordered pairs: {(1, 2), (3, 4), (5, 6), (8, 7)}
4. The fourth set of ordered pairs: {(2, 1), (4, 3), (6, 5), (7,8)}
The last section shows the alignment of x-values and y-values:
- (1, 2)
- (8, 7)
- (5, 6)
- (3, 4)
To summarize:
- In the first example, for every even x-value (2, 4, 6, 8), there is a corresponding y-value by subtracting 1 from the x-value (x-1 or y=x-1).
- In the second example, the x-values are all odd and correspond to consecutive even numbers beginning from 2.
- The third example is similar to the second but includes pairs based on different numbers.
- The fourth has one ordered pair that changes slightly but ultimately speaks to a similar reduction logic.
To determine which relation is being represented, we can conclude that the patterns depict a linear relationship based on a simple arithmetic operation between the x and y coordinates.
The overall consistent transformation present in the provided tables implies these relations likely follow a consistent numeric pattern or a simple function-like mapping.
Based on the ordered pairs provided:
1. The first set of ordered pairs: {(2, 1), (4, 3), (6, 5), (8, 7)}
2. The second set of ordered pairs: {(1, 2), (3, 4), (5, 6), (7, 8)}
3. The third set of ordered pairs: {(1, 2), (3, 4), (5, 6), (8, 7)}
4. The fourth set of ordered pairs: {(2, 1), (4, 3), (6, 5), (7,8)}
The last section shows the alignment of x-values and y-values:
- (1, 2)
- (8, 7)
- (5, 6)
- (3, 4)
To summarize:
- In the first example, for every even x-value (2, 4, 6, 8), there is a corresponding y-value by subtracting 1 from the x-value (x-1 or y=x-1).
- In the second example, the x-values are all odd and correspond to consecutive even numbers beginning from 2.
- The third example is similar to the second but includes pairs based on different numbers.
- The fourth has one ordered pair that changes slightly but ultimately speaks to a similar reduction logic.
To determine which relation is being represented, we can conclude that the patterns depict a linear relationship based on a simple arithmetic operation between the x and y coordinates.
The overall consistent transformation present in the provided tables implies these relations likely follow a consistent numeric pattern or a simple function-like mapping.