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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 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.

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.

1 answer

To determine which player averaged more points per game, we can analyze the data points provided in the graphs.

For Player A:

  • The data points are (0, 0), (2, 40), and (4, 80).
  • The average can be calculated by taking the total points scored and dividing by the number of games in which points were scored.

Calculating Player A's average:

  • Total points scored = 0 + 40 + 80 = 120 points
  • Number of games played = 3 (since there are points recorded at games 2 and 4)
  • Average points per game = Total points / Number of games = 120 / 3 = 40 points per game.

For Player B:

  • The data points are (0, 0), (3, 45), and (5, 75).
  • Similarly, we calculate the average for Player B.

Calculating Player B's average:

  • Total points scored = 0 + 45 + 75 = 120 points
  • Number of games played = 3 (since there are points recorded at games 3 and 5)
  • Average points per game = Total points / Number of games = 120 / 3 = 40 points per game.

Since both players averaged 40 points per game, the correct conclusion is:

Neither player averaged more points than the other; both players averaged 40 points per game. However, based on the available responses, none of the provided options contain this conclusion. Therefore, the closest answer might be that Player A and Player B have similar averages. But it is essential to note that there's no explicit option available for a tie or equal average in the responses given.