QUESTION IMAGE
Question
the bulldogs and condors played ten games this season. which scatter plot represents the data?
game | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
bulldogs | 5 | 6 | 3 | 2 | 7 | 6 | 3 | 6 | 5 | 6
condors | 3 | 2 | 4 | 5 | 4 | 5 | 9 | 7 | 4 | 3
runs scored by bulldogs and condors
four scatter plot images with “bulldogs” (0–10) on the x - axis and “condors” (0–10) on the y - axis
To determine which scatter plot represents the data, we analyze the coordinates (Bulldogs' runs, Condors' runs) for each game:
Step 1: List the Coordinates
For each game \( i \) (1 to 10), the coordinates \((x, y)\) are \((\text{Bulldogs}_i, \text{Condors}_i)\):
- Game 1: \((5, 3)\)
- Game 2: \((6, 2)\)
- Game 3: \((3, 4)\)
- Game 4: \((2, 5)\)
- Game 5: \((7, 4)\)
- Game 6: \((6, 5)\)
- Game 7: \((3, 9)\)
- Game 8: \((6, 7)\)
- Game 9: \((5, 4)\)
- Game 10: \((6, 3)\)
Step 2: Analyze Key Points
- Game 7: \((3, 9)\) (Bulldogs = 3, Condors = 9) – this is a high \( y \)-value for \( x = 3 \).
- Game 4: \((2, 5)\) (Bulldogs = 2, Condors = 5) – \( x = 2 \), \( y = 5 \).
- Game 8: \((6, 7)\) (Bulldogs = 6, Condors = 7) – \( x = 6 \), \( y = 7 \).
- Game 2: \((6, 2)\) (Bulldogs = 6, Condors = 2) – \( x = 6 \), \( y = 2 \).
Step 3: Match to Scatter Plots
- The third scatter plot (from the left) has a point at \((3, 9)\) (high \( y \) for \( x = 3 \)), \((2, 5)\) ( \( x = 2 \), \( y = 5 \) ), \((6, 7)\) ( \( x = 6 \), \( y = 7 \) ), and \((6, 2)\) ( \( x = 6 \), \( y = 2 \) ), which matches our coordinates.
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The third scatter plot (from the left)