To determine which player had the highest average points per game, we need to analyze the data from the graph for Player 1 and the equation for Player 2.
Player 1: The coordinates given for Player 1 are:
- (0, 0)
- (3, 90)
- (5, 150)
- (7, 210)
To find the average points per game, we can consider the last point, as it represents the highest number of games played (7 games). At this point, Player 1 scored 210 points over 7 games.
\[ \text{Average Points Per Game for Player 1} = \frac{210 \text{ points}}{7 \text{ games}} = 30 \text{ points/game} \]
Player 2: The equation provided for Player 2 is \( y = 35x \).
To find Player 2’s average points per game at the same number of games (7), we substitute \( x = 7 \) into the equation:
\[ y = 35(7) = 245 \text{ points} \]
Now, we calculate the average points per game for Player 2:
\[ \text{Average Points Per Game for Player 2} = \frac{245 \text{ points}}{7 \text{ games}} = 35 \text{ points/game} \]
Comparison:
- Player 1 average: 30 points/game
- Player 2 average: 35 points/game
Since 35 points/game (Player 2) is greater than 30 points/game (Player 1), Player 2 had the highest average points per game.
The answer is:
2
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