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 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 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 75 points per game.

Answer 1

To determine which player averaged more points per game, we can look at the data points provided in the graphs.

For Player A:

• At game 2, they scored 40 points.
• At game 4, they scored 80 points.

To find the average points per game for Player A over the games played:

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

For Player B:

• At game 3, they scored 45 points.
• At game 5, they scored 75 points.

To find the average points per game for Player B over the games played:

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

Comparing the averages:

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

Thus, it can be concluded that Player A averaged more points than Player B.