Question

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 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.
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Answer 1

To determine which player averaged more points per game based on the graphs described:

For Player A:

• The data points are (0, 0), (2, 40), and (4, 80).
• We can calculate the average points per game for Player A:
  • Total points scored = 0 + 40 + 80 = 120 points
  • Total games played = 4 (games 0, 2, and 4)
  • Average = Total points / Total games = 120 points / 3 games = 40 points per game.

For Player B:

• The data points are (0, 0), (3, 45), and (5, 75).
• We can calculate the average points per game for Player B:
  • Total points scored = 0 + 45 + 75 = 120 points
  • Total games played = 3 (games 0, 3, and 5)
  • Average = Total points / Total games = 120 points / 3 games = 40 points per game.

Both players averaged 40 points per game, so there is no clear winner in terms of average points scored per game.

Based on the responses, none of them correctly reflect that both players averaged 40 points per game, meaning the correct option is absent.