Use the image to answer the question.

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 A averaged more points than Player B. Player A averaged 80 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 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 look at the data points in the graphs.

For Player A:

• At 0 games: 0 points
• At 2 games: 40 points
• At 4 games: 80 points

To find the average points per game, we can calculate it for the total points across the games played.

Total points for Player A = 0 + 40 + 80 = 120 points
Total games played = 4
Average points per game = Total points / Total games = 120 / 4 = 30 points per game

For Player B:

• At 0 games: 0 points
• At 3 games: 45 points
• At 5 games: 75 points

Total points for Player B = 0 + 45 + 75 = 120 points
Total games played = 5
Average points per game = Total points / Total games = 120 / 5 = 24 points per game

Comparing the averages:

• Player A averaged 30 points per game.
• Player B averaged 24 points per game.

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

The correct response is: Player A averaged more points than Player B. Player A averaged 30 points per game.

(Note: The answer options do not contain this exact number, indicating a potential mistake in context; however, based on the calculations, this conclusion holds true.)