To determine which player had the highest average points per game, we need to analyze the data provided for Player 1 and the equation given for Player 2.
For Player 1, we have the following points:
- (0, 0)
- (3, 75)
- (5, 150)
- (7, 225)
To find the average points per game for Player 1, we can look at these points. The values given (75, 150, 225) correspond to different numbers of games.
For Player 2, the equation is given as \(y = 35x\), where \(x\) represents the number of games played, and \(y\) represents the points scored.
Now let's calculate the average points per game for both players:
Player 1:
- For \(x = 3\): \(y = 75\) points → \(75 / 3 = 25\) points per game
- For \(x = 5\): \(y = 150\) points → \(150 / 5 = 30\) points per game
- For \(x = 7\): \(y = 225\) points → \(225 / 7 ≈ 32.14\) points per game
Player 2:
Using the equation \(y = 35x\).
- For \(x = 1\): \(y = 35\) points → \(35 / 1 = 35\) points per game
- For \(x = 2\): \(y = 70\) points → \(70 / 2 = 35\) points per game
- For \(x = 3\): \(y = 105\) points → \(105 / 3 = 35\) points per game
- This trend continues; Player 2 consistently has \(35\) points per game for every number of games.
Conclusion:
Comparing the averages:
- Player 1 has an average of 25, 30, and up to approximately 32.14 points per game.
- Player 2 has a steady average of \(35\) points per game.
Thus, Player 2 had the highest average points per game.
The answer is: 2.
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