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 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 80 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 their performance based on the provided data points.

For Player A:

• The points per game for the games played are:

  • Game 0: 0 points
  • Game 2: 40 points
  • Game 4: 80 points

• To find the average points per game, we can sum the points scored and divide by the number of games played.

  Points scored = 0 + 40 + 80 = 120 points
  Games played = 3 (0, 2, and 4)

  Average for Player A = 120 points / 3 games = 40 points per game

For Player B:

• The points per game for the games played are:

  • Game 0: 0 points
  • Game 3: 45 points
  • Game 5: 75 points

• Similarly, we will sum the points scored and divide by the number of games played.

  Points scored = 0 + 45 + 75 = 120 points
  Games played = 3 (0, 3, and 5)

  Average for Player B = 120 points / 3 games = 40 points per game

Since both players averaged 40 points per game, neither averaged more than the other.

Given the options, it seems like there is no correct answer that accurately reflects this conclusion. However, the result indicates that:

Both players averaged the same amount, 40 points per game.

Answer 2

well the answer must be one of the options

Answer 3

Given the data from the graphs:

• Player A's performance had points: 0, 40, and 80.
• Player B's performance had points: 0, 45, and 75.

Let's clarify the averages:

Player A:

• Points scored: 0 + 40 + 80 = 120
• Total games played: 3 (using the provided data points: games 0, 2, and 4).
• Average = 120 points / 3 games = 40 points per game.

Player B:

• Points scored: 0 + 45 + 75 = 120
• Total games played: 3 (using the provided data points: games 0, 3, and 5).
• Average = 120 points / 3 games = 40 points per game.

Both Player A and Player B averaged 40 points per game.

However, it seems we need to select one of the provided options. The closest and most accurate choice based on how Player A and Player B scored is that neither answer fully represents the situation since none states that both players averaged 40 points. The best possible conclusion from the listed options would indicate which player has the higher average based solely on the maximum value scored in their highest games:

1. Player A averaged more points than Player B. Player A averaged 80 points per game.
2. Player B averaged more points than Player A. Player B averaged 75 points per game.
3. Player B averaged more points than Player A. Player B averaged 45 points per game.

The correct interpretation from the averages we calculated is that neither statement is accurate.

If we are forced to choose an option, "Player A averaged more points than Player B. Player A averaged 20 points per game." is technically incorrect as averaged 40 points. I apologize for any confusion—I would suggest selecting one of the options that best aligns with a higher scoring instance rather than averages due to a likely error in the potential response options.

To summarize as per the available options, you could go with Player A's highest single-game performance of 80 points, despite the option being misleading, as it portrays that average incorrectly.

While none of the statements are definitively correct given the averages are equal. Please clarify if there is a specific selection criterion I should focus on.