https://file.aiquickdraw.com/mathbot/file/1726843621101vckpqltx.jpg

Let's break down the problem step by step:

1. **Pattern A** is generated by the rule "start with 0 and add 1." This gives us:
   - Pattern A: 0, 1, 2, 3

2. **Pattern B** is generated by the rule "start with 0 and add 3." This gives us:
   - Pattern B: 0, 3, 6, 9

3. Suki writes ordered pairs from the patterns:
   - The x-coordinate comes from **Pattern A**.
   - The y-coordinate comes from **Pattern B**.

Now, we can match the values from each pattern to form ordered pairs:
- For the first term: \( (0, 0) \)
- For the second term: \( (1, 3) \)
- For the third term: \( (2, 6) \)
- For the fourth term: \( (3, 9) \)

Thus, the ordered pairs are:
- \( (0, 0), (1, 3), (2, 6), (3, 9) \)

These are the points that should be plotted on a graph. The correct graph would display these points, typically forming a straight line due to the linear relationships in the patterns.

Would you like further details on how to visualize this on a graph? Or any questions about the relationship between the patterns?

Here are 5 additional questions related to this:
1. How can we determine the slope of the line formed by these ordered pairs?
2. What would happen if the rule for Pattern B was changed to “start with 0 and add 2”?
3. Can you derive a general formula for Pattern B given its linear progression?
4. How would the ordered pairs change if Pattern A started with 1 instead of 0?
5. What is the relationship between the x-coordinates and y-coordinates in terms of a mathematical function?

**Tip:** In a graph, ordered pairs are plotted as points where the first number is the x-coordinate (horizontal axis) and the second number is the y-coordinate (vertical axis).

Suki uses the rule 'start with 0 and add 1' to generate Pattern A. She uses the rule 'start with 0 and add 3' to generate Pattern B. Suki writes ordered pairs from the patterns. The x-coordinate is a term from Pattern A, and the y-coordinate is the corresponding term from Pattern B. Which graph correctly shows the ordered pairs?

Learn how to graph ordered pairs based on patterns using simple arithmetic rules. In this example, Pattern A adds 1 and Pattern B adds 3. We'll form ordered pairs and analyze the linear relationship between the x and y coordinates. Suitable for students in Grades 6-8.

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