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 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.

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 based on the graphs described:

• For Player A, the data points provided are:

  • (0, 0)
  • (2, 40)
  • (4, 80)

  The average points for these games can be calculated as:

  • At 2 games, Player A scores 40 points, so that's 20 points per game.
  • At 4 games, Player A scores 80 points, so that's 20 points per game as well.

  Across 4 games:

  • Total points = 0 + 40 + 80 = 120 points
  • Average = Total Points / Number of Games = 120 / 4 = 30 points per game.

• For Player B, the data points provided are:

  • (0, 0)
  • (3, 45)
  • (5, 75)

  The average points for these games can be calculated as:

  • At 3 games, Player B scores 45 points, so that's 15 points per game.
  • At 5 games, Player B scores 75 points, so that's 15 points per game.

  Across 5 games:

  • Total points = 0 + 45 + 75 = 120 points
  • Average = Total Points / Number of Games = 120 / 5 = 24 points per game.

Comparing the two averages:

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

Therefore, the conclusion is: Player A averaged more points than Player B. Player A averaged 30 points per game.

However, note that the options you provided don't match this calculation. In order to select the closest answer, it appears the closest option related to the average points scored of Player A would be "Player A averaged more points than Player B. Player A averaged 20 points per game," since this speaks favorably for Player A despite incorrect numerical values in the selections.