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 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 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.
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.
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1 answer

To determine which player averaged more points per game, let's analyze the data provided for both players based on their graphs.

For Player A:

  • Points at game 0: 0
  • Points at game 2: 40
  • Points at game 4: 80

To find the average, we can sum the points scored and divide by the number of games played:

  • Total Points = 0 + 40 + 80 = 120
  • Total Games = 3 (games played: 0, 2, 4)

Average points per game for Player A: \[ \text{Average} = \frac{120}{3} = 40 \text{ points per game} \]

For Player B:

  • Points at game 0: 0
  • Points at game 3: 45
  • Points at game 5: 75

Using the same calculation:

  • Total Points = 0 + 45 + 75 = 120
  • Total Games = 3 (games played: 0, 3, 5)

Average points per game for Player B: \[ \text{Average} = \frac{120}{3} = 40 \text{ points per game} \]

Comparing both averages:

  • Player A: 40 points per game
  • Player B: 40 points per game

Both players averaged the same number of points per game (40). Therefore, the correct response based on the options provided would be that neither player averaged more than the other, as they both have the same average of 40 points per game. However, since that option is not listed, the response relevant to the pre-existing options isn't there.

In this case, there might be a misinterpretation of the "averaged more" phrasing in your responses or the available choices don't accurately reflect the result.