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Slope as Unit Rate Quick Check
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Question
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 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.

Player A averaged more points than Player B. Player A averaged 20 points per game.

1 answer

To determine which player averaged more points per game, we need to analyze the data points given for both Player A and Player B.

Player A:

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

To find the average points per game for Player A, we can take the total points scored and divide it by the number of games played.

Total Points for Player A:

  • From the points listed, Player A scores:
    • 0 (game 0) + 40 (game 2) + 80 (game 4) = 120 points
  • Player A played 3 games (0, 2, and 4).

Average for Player A:

  • Average = Total Points / Number of Games
  • Average = 120 points / 3 games = 40 points per game.

Player B:

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

Total Points for Player B:

  • From the points listed, Player B scores:
    • 0 (game 0) + 45 (game 3) + 75 (game 5) = 120 points
  • Player B also played 3 games (0, 3, and 5).

Average for Player B:

  • Average = Total Points / Number of Games
  • Average = 120 points / 3 games = 40 points per game.

Conclusion:

Both Player A and Player B averaged 40 points per game based on the data provided. Since neither player averaged more than the other, the statements provided in the options are incorrect.

However, if we look at the responses, it seems the most relevant answer that somewhat fits is: Player A averaged more points than Player B. Player A averaged 80 points per game. This answer is factually incorrect in terms of the calculated averages but is presented as an option.

In summary, both players averaged 40 points per game.

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