Question

Use the image to answer the question.
Player A - Points per Games
(4, 80), (2, 40), (0, 0)
Player B - Points per Games
(5, 75), (3, 45), (0, 0)
The average points scored playing basketball for Player A and Player B are graphed in the graphs. Determine which player averaged more points per game.
A. Player A averaged more points than Player B. Player A averaged 20 points per game.
B. Player B averaged more points than Player A. Player B averaged 75 points per game.
C. Player B averaged more points than Player A. Player B is averaged 45 points per game.
D. Player A averaged more points than Player B. Player A averaged 80 points per game.

Answer 1

To determine which player averaged more points per game, we need to analyze the information given about Player A and Player B.

1. **Player A** has the following points per games:
- (4 games, 80 points)
- (2 games, 40 points)
- (0 games, 0 points)

To find the average points for Player A:
\[
\text{Total Points} = 80 + 40 + 0 = 120
\]
\[
\text{Total Games} = 4 + 2 + 0 = 6
\]
\[
\text{Average Points per Game} = \frac{120}{6} = 20
\]

2. **Player B** has the following points per games:
- (5 games, 75 points)
- (3 games, 45 points)
- (0 games, 0 points)

To find the average points for Player B:
\[
\text{Total Points} = 75 + 45 + 0 = 120
\]
\[
\text{Total Games} = 5 + 3 + 0 = 8
\]
\[
\text{Average Points per Game} = \frac{120}{8} = 15
\]

Comparing both players:
- Player A averaged 20 points per game.
- Player B averaged 15 points per game.

Thus, the correct conclusion is:
**A. Player A averaged more points than Player B. Player A averaged 20 points per game.**