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An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Games and ranges from 0 to 7 in 1 unit increments. The y-axis is labeled points and ranges from 0 to 250 in increments of 50. The graph is titled Points per Game. A line connects four points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 90 right parenthesis, left parenthesis 5 comma 150 right parenthesis, and left parenthesis 7 comma 210 right parenthesis.

The average basketball points per game for Player 1 are displayed in the graph. Player 2’s average points per game are represented by the equation y=35x
. Which player had the highest average points per game? Enter 1 for Player 1. Enter 2 for Player 2.

(1 point)
Player
had the highest average points per game.
Remaining Attempts : 3

1 answer

To determine which player had the highest average points per game, we need to analyze Player 1's data from the graph and Player 2's equation.

Player 1: From the points plotted for Player 1:

  • \( (0, 0) \) → 0 points per game
  • \( (3, 90) \) → \( \frac{90}{3} = 30 \) points per game
  • \( (5, 150) \) → \( \frac{150}{5} = 30 \) points per game
  • \( (7, 210) \) → \( \frac{210}{7} = 30 \) points per game

So the average points per game for Player 1 is consistent at 30 points.

Player 2: The equation given for Player 2 is \( y = 35x \).

  • For 3 games: \( y = 35(3) = 105 \) points, average = \( \frac{105}{3} = 35 \) points per game.
  • For 5 games: \( y = 35(5) = 175 \) points, average = \( \frac{175}{5} = 35 \) points per game.
  • For 7 games: \( y = 35(7) = 245 \) points, average = \( \frac{245}{7} = 35 \) points per game.

Comparison:

  • Player 1's average = 30 points per game.
  • Player 2's average = 35 points per game.

Thus, Player 2 had the highest average points per game.

Final Answer: Player 2 had the highest average points per game.

Enter: 2