Question
A football kicker attempted to make field goals from different distances from the goal post. The relationship between the distance from the goal post and the number of field goals made is shown in the scatter plot.
scatter plot titled football field goals with x-axis labeled distance from goal post in yards and y-axis labeled number of field goals with points at 15 comma 11, 20 comma 9, 25 comma 10, 30 comma 9, 35 comma 7, 40 comma 5, 45 comma 3, and 50 comma 2
Which of the following tables of data represents the scatter plot?
Distance From Goal Post (in yards) 15 20 25 30 35 40 45 50
Number of Field Goals 11 9 10 9 7 5 3 2
Distance From Goal Post (in yards) 11 9 10 9 7 5 3 2
Number of Field Goals 15 20 25 30 35 40 45 50
Distance From Goal Post (in yards) 15 20 25 30 35 40 45 50
Number of Field Goals 9 9 11 10 10 7 4 3
Distance From Goal Post (in yards) 15 20 25 30 35 40 45 50
Number of Field Goals 10 9 10 11 9 6 6 2
scatter plot titled football field goals with x-axis labeled distance from goal post in yards and y-axis labeled number of field goals with points at 15 comma 11, 20 comma 9, 25 comma 10, 30 comma 9, 35 comma 7, 40 comma 5, 45 comma 3, and 50 comma 2
Which of the following tables of data represents the scatter plot?
Distance From Goal Post (in yards) 15 20 25 30 35 40 45 50
Number of Field Goals 11 9 10 9 7 5 3 2
Distance From Goal Post (in yards) 11 9 10 9 7 5 3 2
Number of Field Goals 15 20 25 30 35 40 45 50
Distance From Goal Post (in yards) 15 20 25 30 35 40 45 50
Number of Field Goals 9 9 11 10 10 7 4 3
Distance From Goal Post (in yards) 15 20 25 30 35 40 45 50
Number of Field Goals 10 9 10 11 9 6 6 2
Answers
GPT-4o mini
To determine which table of data accurately represents the scatter plot you described, we need to match the distances from the goal post with the corresponding number of field goals made at those distances.
From the scatter plot:
- At 15 yards, 11 field goals were made.
- At 20 yards, 9 field goals were made.
- At 25 yards, 10 field goals were made.
- At 30 yards, 9 field goals were made.
- At 35 yards, 7 field goals were made.
- At 40 yards, 5 field goals were made.
- At 45 yards, 3 field goals were made.
- At 50 yards, 2 field goals were made.
Now we can compare these points to the options provided in the tables:
1. **First Table:**
```
Distance From Goal Post (in yards) | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50
Number of Field Goals | 11 | 9 | 10 | 9 | 7 | 5 | 3 | 2
```
- This matches perfectly with the points in the scatter plot.
2. **Second Table:**
```
Distance From Goal Post (in yards) | 11 | 9 | 10 | 9 | 7 | 5 | 3 | 2
Number of Field Goals | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50
```
- This is reversed and does not match.
3. **Third Table:**
```
Distance From Goal Post (in yards) | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50
Number of Field Goals | 9 | 9 | 11 | 10 | 10 | 7 | 4 | 3
```
- This does not match the scatter plot points.
4. **Fourth Table:**
```
Distance From Goal Post (in yards) | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50
Number of Field Goals | 10 | 9 | 10 | 11 | 9 | 6 | 6 | 2
```
- This also does not match the scatter plot points.
Based on this analysis, the **first table** accurately represents the data from the scatter plot.
From the scatter plot:
- At 15 yards, 11 field goals were made.
- At 20 yards, 9 field goals were made.
- At 25 yards, 10 field goals were made.
- At 30 yards, 9 field goals were made.
- At 35 yards, 7 field goals were made.
- At 40 yards, 5 field goals were made.
- At 45 yards, 3 field goals were made.
- At 50 yards, 2 field goals were made.
Now we can compare these points to the options provided in the tables:
1. **First Table:**
```
Distance From Goal Post (in yards) | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50
Number of Field Goals | 11 | 9 | 10 | 9 | 7 | 5 | 3 | 2
```
- This matches perfectly with the points in the scatter plot.
2. **Second Table:**
```
Distance From Goal Post (in yards) | 11 | 9 | 10 | 9 | 7 | 5 | 3 | 2
Number of Field Goals | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50
```
- This is reversed and does not match.
3. **Third Table:**
```
Distance From Goal Post (in yards) | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50
Number of Field Goals | 9 | 9 | 11 | 10 | 10 | 7 | 4 | 3
```
- This does not match the scatter plot points.
4. **Fourth Table:**
```
Distance From Goal Post (in yards) | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50
Number of Field Goals | 10 | 9 | 10 | 11 | 9 | 6 | 6 | 2
```
- This also does not match the scatter plot points.
Based on this analysis, the **first table** accurately represents the data from the scatter plot.