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:

x01213
y22341

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:

  1. How do you interpret tables with multiple repeated x-values?
  2. How can you graph these ordered pairs on a coordinate plane?
  3. What happens if we have more than one y-value for a given x in a table?
  4. How would the ordered pairs change if the y-values were different?
  5. 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

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Theorems

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Suitable Grade Level

Grades 5-7