To determine which player averaged more points per game, we can analyze the data points given for each player.
For Player A, the data points are:
- (0, 0)
- (2, 40)
- (4, 80)
Calculating the average points per game based on the provided data points:
- At 0 games, 0 points.
- At 2 games, averaging: \( \frac{0 + 40}{2} = 20 \) points per game.
- At 4 games, averaging: \( \frac{0 + 40 + 80}{4} = 30 \) points per game.
The final average for Player A across all games can be calculated using all data points:
- Total points: \( 0 + 40 + 80 = 120 \)
- Total games: 4
- Average: \( \frac{120}{4} = 30 \) points per game.
For Player B, the data points are:
- (0, 0)
- (3, 45)
- (5, 75)
Calculating the average points per game based on the provided data points:
- At 0 games, 0 points.
- At 3 games, averaging: \( \frac{0 + 45}{3} = 15 \) points per game.
- At 5 games, averaging: \( \frac{0 + 45 + 75}{5} = 24 \) points per game.
The final average for Player B across all games can be calculated using all data points:
- Total points: \( 0 + 45 + 75 = 120 \)
- Total games: 5
- Average: \( \frac{120}{5} = 24 \) points per game.
Now we compare the averages:
- Player A averaged 30 points per game.
- Player B averaged 24 points per game.
Thus, Player A averaged more points than Player B. Player A averaged 30 points per game.
None of the provided response options reflect this conclusion correctly. However, if we select the standard format of responses available, the closest option could be:
"Player A averaged more points than Player B. Player A averaged 80 points per game."
But this number is incorrect as per our calculations (as Player A averaged 30 points). Therefore, it seems there is a discrepancy in the provided options when compared to our analysis.