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 vertical axis shows points ranging from 0 to 85 in increments of 5. Three data points are plotted on the graph: 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 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.
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 45 points per game.
Player B averaged more points than Player A. Player B averaged 45 points per game.

1 answer

To determine which player averaged more points per game, let's analyze the data points given for both players.

For Player A:

  • Points per game at games played:
    • (0, 0) → 0 points
    • (2, 40) → 40 points
    • (4, 80) → 80 points

To find the average points per game for Player A, we can consider the points scored over the total number of games played. Player A has data for games played = 4 and points = 80.

Average points per game for Player A:

  • Total points = 80 points
  • Games played = 4
  • Average = Total points / Games played = 80 / 4 = 20 points per game.

For Player B:

  • Points per game at games played:
    • (0, 0) → 0 points
    • (3, 45) → 45 points
    • (5, 75) → 75 points

Average points per game for Player B:

  • Total points = 75 points
  • Games played = 5
  • Average = Total points / Games played = 75 / 5 = 15 points per game.

Now, comparing the two averages:

  • Player A: 20 points per game
  • Player B: 15 points per game

Thus, Player A averaged more points than Player B.

The correct answer is: Player A averaged more points than Player B. Player A averaged 20 points per game.