To answer the question, we will first clarify the data presented and then work step-by-step to reach the solution.
### Step 1: Understanding the Table Data
The table represents the ages of players on the Supersonics intramural basketball team and their corresponding scoring averages. Let's list out the data points:
| Age of Player | Scoring Average |
| --------------|------------------|
| 19 | 2 |
| 14 | 8 |
| 16 | 6 |
| 18 | 10 |
| 15 | 12 |
| 10 | 15.5 |
| 17 | 6 |
| 11 | 4 |
| 14 | 2 |
### Step 2: Form Ordered Pairs
To graph the data, we need to construct ordered pairs [tex]\((x, y)\)[/tex] where [tex]\(x\)[/tex] represents the "Age of Player" and [tex]\(y\)[/tex] represents the "Scoring Average". Here are the ordered pairs based on the table:
1. [tex]\((19, 2)\)[/tex]
2. [tex]\((14, 8)\)[/tex]
3. [tex]\((16, 6)\)[/tex]
4. [tex]\((18, 10)\)[/tex]
5. [tex]\((15, 12)\)[/tex]
6. [tex]\((10, 15.5)\)[/tex]
7. [tex]\((17, 6)\)[/tex]
8. [tex]\((11, 4)\)[/tex]
9. [tex]\((14, 2)\)[/tex]
### Step 3: Choose Axes for the Graph
To plot these data points, we determine suitable axes. Typically, the age of the player (which can range from 10 to 19 based on the data) will be on the x-axis, and the scoring average (which ranges from 2 to 15.5) will be on the y-axis.
- X-axis (horizontal): Represents the "Age of Player" ranging roughly between 10 and 19.
- Y-axis (vertical): Represents the "Scoring Average" ranging roughly between 0 and 16 to include all averages.
### Step 4: Prepare for Plotting
Graphical representation would now take each ordered pair and mark it on the coordinate plane based on the [tex]\(x\)[/tex]-values (age) and [tex]\(y\)[/tex]-values (scoring averages).
### Step 5: Verification of Chosen Axes & Ordered Pairs
Now that we have our axes and ordered pairs, verify that they match correctly:
- Players' ages fit within the x-axis range.
- Players' scoring averages fit within the y-axis range.
### Step 6: Explanation for Graph Choice A
Given that the question states "Graph [tex]\(A\)[/tex]” and providing data without presenting the actual graph, we assume that Graph [tex]\(A\)[/tex] is the correct graphical plot of the data. We have:
- Used appropriate axes representing the given ranges for ages and scoring averages.
- List of all ordered pairs derived from the table data ready to be plotted.
By following these steps, we've ensured that the data is correctly transformed into graphical form suitable for analysis.
