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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 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 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.

1 answer

To determine which player averaged more points per game, we analyze the provided data points for each player.

Player A: The points per game data points are:

  • (0, 0)
  • (2, 40)
  • (4, 80)

To find the average, we can calculate the points per game:

  1. In total, Player A has scored:
    • 0 points in game 0,
    • 40 points in game 2,
    • 80 points in game 4

The total points scored by Player A from games 1 to 4 is:

  • 40 + 80 = 120 points

The total number of games played is 4 (considering games 1 through 4).

Therefore, the average for Player A is: \[ \text{Average for Player A} = \frac{\text{Total Points}}{\text{Total Games}} = \frac{120}{4} = 30 \text{ points per game} \]

Player B: The points per game data points are:

  • (0, 0)
  • (3, 45)
  • (5, 75)

To find the average, we can calculate the points per game:

  1. In total, Player B has scored:
    • 0 points in game 0,
    • 45 points in game 3,
    • 75 points in game 5

The total points scored by Player B from games 1 to 5 is:

  • 45 + 75 = 120 points

The total number of games played is also 4 (considering games 1 through 5).

Therefore, the average for Player B is: \[ \text{Average for Player B} = \frac{\text{Total Points}}{\text{Total Games}} = \frac{120}{4} = 30 \text{ points per game} \]

Since both players are averaging the same amount (30 points per game), neither player averaged more than the other.

The most appropriate response considering the analysis:

Neither player averaged more points than the other; both averaged 30 points per game.