Math Problem Statement
Which ordered pairs match the table? x
0
1
2
1
3
y
2
2
3
4
1 Responses
(0, 2), (1, 2), (2, 3), (1, 4), (3, 1)
begin ordered pair 0 comma 2 end ordered pair , begin ordered pair 1 comma 2 end ordered pair , begin ordered pair 2 comma 3 end ordered pair , begin ordered pair 1 comma 4 end ordered pair , begin ordered pair 3 comma 1 end ordered pair
(0, 2), (0, 2), (2, 2), (2, 3), (2, 4)
begin ordered pair 0 comma 2 end ordered pair , begin ordered pair 0 comma 2 end ordered pair , begin ordered pair 2 comma 2 end ordered pair , begin ordered pair 2 comma 3 end ordered pair , begin ordered pair 2 comma 4 end ordered pair
(1, 2), (1, 1), (2, 0), (0, 4), (2, 1)
begin ordered pair 1 comma 2 end ordered pair , begin ordered pair 1 comma 1 end ordered pair , begin ordered pair 2 comma 0 end ordered pair , begin ordered pair 0 comma 4 end ordered pair , begin ordered pair 2 comma 1 end ordered pair
(2, 0), (2, 1), (3, 2),(4, 1), (1, 3)
Solution
To find the correct ordered pairs, we can look at the given table:
x | 0 | 1 | 2 | 1 | 3 |
---|---|---|---|---|---|
y | 2 | 2 | 3 | 4 | 1 |
We match each x value with its corresponding y value:
- When x = 0, y = 2, so the ordered pair is (0, 2).
- When x = 1, y = 2, so the ordered pair is (1, 2).
- When x = 2, y = 3, so the ordered pair is (2, 3).
- When x = 1 (again), y = 4, so the ordered pair is (1, 4).
- When x = 3, y = 1, so the ordered pair is (3, 1).
Thus, the correct ordered pairs are: (0, 2), (1, 2), (2, 3), (1, 4), (3, 1).
The correct response is:
- (0, 2), (1, 2), (2, 3), (1, 4), (3, 1).
Do you need further clarification on any step? Or would you like to explore more examples?
Related Questions:
- How do you interpret tables with multiple repeated x-values?
- How can you graph these ordered pairs on a coordinate plane?
- What happens if we have more than one y-value for a given x in a table?
- How would the ordered pairs change if the y-values were different?
- Can you identify any patterns in the relationship between x and y?
Tip:
When looking at tables, always check if x-values are repeated, and make sure to pair each x with its corresponding y-value. This will help avoid any confusion when determining ordered pairs.
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Math Problem Analysis
Mathematical Concepts
Ordered Pairs
Tables
Mapping Functions
Formulas
-
Theorems
-
Suitable Grade Level
Grades 5-7