To determine which player had the highest average points per game, we need to analyze the data provided for both Player 1 and Player 2.
Player 1: Points per game are plotted at the following coordinates:
- (0, 0)
- (3, 90)
- (5, 150)
- (7, 210)
To find the average points per game, we can calculate the slope (average points per game) between the specified points.
- From (0, 0) to (3, 90):
- Average = 90 points / 3 games = 30 points/game
- From (3, 90) to (5, 150):
- Average = (150 - 90) points / (5 - 3) games = 60 points / 2 games = 30 points/game
- From (5, 150) to (7, 210):
- Average = (210 - 150) points / (7 - 5) games = 60 points / 2 games = 30 points/game
The average points per game for Player 1 across the data points is consistent at 30 points/game.
Player 2: Player 2's average points per game is represented by the equation \( y = 35x \). This means:
- For 0 games: \( y = 35 \cdot 0 = 0 \)
- For 3 games: \( y = 35 \cdot 3 = 105 \)
- For 5 games: \( y = 35 \cdot 5 = 175 \)
- For 7 games: \( y = 35 \cdot 7 = 245 \)
The average points per game for Player 2 is 35 points/game.
Conclusion: Comparing both averages:
- Player 1: 30 points/game
- Player 2: 35 points/game
Thus, Player 2 has the highest average points per game.
The answer is: Player 2 had the highest average points per game.