Question

Use the image to answer the question.

An illustration shows two graphs depicting points per game for players A and B. The first graph shows points per game for player A. The horizontal axis shows games ranging from 0 to 5 in increments of 1. The vertical axis shows points ranging from 0 to 85 in increments of 5. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 40 right parenthesis, and left parenthesis 4 comma 80 right parenthesis. A line connects all the data points. The second graph shows points per game for player B. The horizontal axis shows games ranging from 0 to 6 in increments of 1. The vertical axis shows points ranging from 0 to 80 in increments of 5. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis. A line connects all the data points.

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.

(1 point)
Responses

Player B averaged more points than Player A. Player B averaged 75 points per game.
Player B averaged more points than Player A. Player B averaged 75 points per game.

Player A averaged more points than Player B. Player A averaged 80 points per game.
Player A averaged more points than Player B. Player A averaged 80 points per game.

Player A averaged more points than Player B. Player A averaged 20 points per game.
Player A averaged more points than Player B. Player A averaged 20 points per game.

Player B averaged more points than Player A. Player B averaged 45 points per game.

Answer 1

To determine which player averaged more points per game, we can analyze the data points given for each player.

For Player A, the data points are:
- (0, 0)
- (2, 40)
- (4, 80)

Calculating the average points per game based on the provided data points:
- At 0 games, 0 points.
- At 2 games, averaging: \( \frac{0 + 40}{2} = 20 \) points per game.
- At 4 games, averaging: \( \frac{0 + 40 + 80}{4} = 30 \) points per game.

The final average for Player A across all games can be calculated using all data points:
- Total points: \( 0 + 40 + 80 = 120 \)
- Total games: 4
- Average: \( \frac{120}{4} = 30 \) points per game.

For Player B, the data points are:
- (0, 0)
- (3, 45)
- (5, 75)

Calculating the average points per game based on the provided data points:
- At 0 games, 0 points.
- At 3 games, averaging: \( \frac{0 + 45}{3} = 15 \) points per game.
- At 5 games, averaging: \( \frac{0 + 45 + 75}{5} = 24 \) points per game.

The final average for Player B across all games can be calculated using all data points:
- Total points: \( 0 + 45 + 75 = 120 \)
- Total games: 5
- Average: \( \frac{120}{5} = 24 \) points per game.

Now we compare the averages:
- Player A averaged 30 points per game.
- Player B averaged 24 points per game.

Thus, **Player A averaged more points than Player B. Player A averaged 30 points per game.**

None of the provided response options reflect this conclusion correctly. However, if we select the standard format of responses available, the closest option could be:

"Player A averaged more points than Player B. Player A averaged 80 points per game."

But this number is incorrect as per our calculations (as Player A averaged 30 points). Therefore, it seems there is a discrepancy in the provided options when compared to our analysis.