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 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 B averaged more points than Player A. Player B averaged 45 points per game.
Player B averaged more points than Player A. Player B averaged 45 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 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 can analyze the data points provided for both players.

For Player A:

• Points per game data points:
  • (0, 0)
  • (2, 40)
  • (4, 80)

To find the average points per game, we can take the points scored at each of the games and compute an average:

Assuming that the numbers represent total points scored:

1. Total points scored by Player A = 0 + 40 + 80 = 120 points
2. Total games played = 4 (the number of games where Player A scored points)

Average for Player A = Total Points / Total Games = 120 / 4 = 30 points per game.

For Player B:

• Points per game data points:
  • (0, 0)
  • (3, 45)
  • (5, 75)

Similarly for Player B:

1. Total points scored by Player B = 0 + 45 + 75 = 120 points
2. Total games played = 5 (the number of games where Player B scored points)

Average for Player B = Total Points / Total Games = 120 / 5 = 24 points per game.

Now we can summarize the averages:

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

Therefore, Player A averaged more points than Player B. The correct response is:

Player A averaged more points than Player B. Player A averaged 30 points per game.