To determine which player averaged more points per game based on the data points provided, calculate the average for each player.
For Player A, the data points are:
- (0, 0)
- (2, 40)
- (4, 80)
The average points scored can be calculated based on the total points scored divided by the total number of games played. The total points scored and the number of games would be:
- Total points = 0 (from game 0) + 40 (from game 2) + 80 (from game 4) = 120 points
- Total games = 2 (from game 0 to 4, considering games played: 0, 2, 4). Hence, Player A played 3 games.
Average for Player A: \[ \text{Average} = \frac{\text{Total points}}{\text{Total games}} = \frac{120}{3} = 40 \text{ points per game} \]
For Player B, the data points are:
- (0, 0)
- (3, 45)
- (5, 75)
Similarly, we calculate for Player B:
- Total points = 0 (from game 0) + 45 (from game 3) + 75 (from game 5) = 120 points
- Total games = 3 (from game 0 to 5, considering games played: 0, 3, 5). Hence, Player B also played 3 games.
Average for Player B: \[ \text{Average} = \frac{\text{Total points}}{\text{Total games}} = \frac{120}{3} = 40 \text{ points per game} \]
Conclusion: Both players A and B averaged 40 points per game based on the given data.
Since none of the provided options reflect the correct averages, it seems there might have been a misinterpretation in the options. However, we can confidently assert that both players averaged the same score: 40 points per game.