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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 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.
Player B averaged more points than Player A. Player B averaged 75 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 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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1 answer

To determine which player averaged more points per game, we'll need to find the averages for both players based on the points and games indicated in the graphs.

For Player A:

  • The data points are: (0, 0), (2, 40), and (4, 80).
  • We can take the average of points scored over the number of games played.
  • The total points scored by Player A is 0 + 40 + 80 = 120 points.
  • The total number of games played by Player A is 0, 2, and 4, which averages to (0 + 2 + 4) / 3 = 2 games.
  • Average points per game for Player A = Total points / Total games = 120 / 3 = 40 points per game.

For Player B:

  • The data points are: (0, 0), (3, 45), and (5, 75).
  • Similar to Player A, we find the total points scored.
  • The total points scored by Player B is 0 + 45 + 75 = 120 points.
  • The total number of games played by Player B is 0, 3, and 5, which averages to (0 + 3 + 5) / 3 = 2.67 games.
  • Average points per game for Player B = Total points / Total games = 120 / 3 = 45 points per game.

Now comparing the averages:

  • Player A: 40 points per game
  • Player B: 45 points per game

Therefore, Player B averaged more points than Player A.

Correct response: Player B averaged more points than Player A. Player B averaged 45 points per game.