To determine which player had the highest average points per game, we can first look at the points per game for Player 1 based on the provided data points:
- At 0 games, Player 1 scores 0 points.
- At 3 games, Player 1 scores 90 points. The average here is 90 / 3 = 30 points per game.
- At 5 games, Player 1 scores 150 points. The average here is 150 / 5 = 30 points per game.
- At 7 games, Player 1 scores 210 points. The average here is 210 / 7 = 30 points per game.
Player 1’s average points per game is consistently 30.
For Player 2, the equation given is \( y = 35x \). This means that for every game played (x), Player 2 scores 35 points on average.
- For any number of games, Player 2's average points per game will always be 35 points.
Comparing the two averages:
- Player 1: 30 points per game
- Player 2: 35 points per game
Since 35 is greater than 30, Player 2 has the highest average points per game.
Thus, the answer is:
Player 2 had the highest average points per game.