The proportional relationships between the average points for Football Player A and the number of games played is displayed in the graph.

The table represents the proportional relationship between the average points for Football Player B and the number of games played.



Determine whether Football Player A or Football Player B has the highest average number of points.

Player A averaged _________ points per game.
Player B averaged __________ points per game.

Which player averaged more points per game?

Points Black in A: 2, 25
4, 56
6, 84

Points B:

Games:
0
1
3
5

Points:
0
15
45
75

1 answer

To determine the average points per game for both Football Player A and Football Player B, we can calculate the average points per game for each player based on the provided data.

For Player A:

From the given points:

  • For 2 games: 25 points
  • For 4 games: 56 points
  • For 6 games: 84 points

To determine the average points per game, we can calculate the average for each point of data presented:

  1. For 2 games: \[ \text{Average} = \frac{25 \text{ points}}{2 \text{ games}} = 12.5 \text{ points per game} \]

  2. For 4 games: \[ \text{Average} = \frac{56 \text{ points}}{4 \text{ games}} = 14 \text{ points per game} \]

  3. For 6 games: \[ \text{Average} = \frac{84 \text{ points}}{6 \text{ games}} = 14 \text{ points per game} \]

The averages for Player A are:

  • 12.5 points per game (for 2 games)
  • 14 points per game (for 4 games)
  • 14 points per game (for 6 games)

The highest average for Player A is 14 points per game.

For Player B:

From the given points:

  • For 0 games: 0 points
  • For 1 game: 15 points
  • For 3 games: 45 points
  • For 5 games: 75 points

Calculating the averages:

  1. For 1 game: \[ \text{Average} = \frac{15 \text{ points}}{1 \text{ game}} = 15 \text{ points per game} \]

  2. For 3 games: \[ \text{Average} = \frac{45 \text{ points}}{3 \text{ games}} = 15 \text{ points per game} \]

  3. For 5 games: \[ \text{Average} = \frac{75 \text{ points}}{5 \text{ games}} = 15 \text{ points per game} \]

All averages for Player B are consistently 15 points per game.

Summary:

  • Player A averaged 14 points per game.
  • Player B averaged 15 points per game.

Conclusion:

Football Player B averaged more points per game than Football Player A.