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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

A. 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.

B. 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.

C. 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.

D. Player A averaged more points than Player B. Player A averaged 80 points per game.

1 answer

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

For Player A, the data points are:

  • (0, 0)
  • (2, 40)
  • (4, 80)

The average points scored can be calculated by considering the total points scored over the total number of games played. The total points at the final game (4 games) is 80 points and the number of games played is 4, so:

\[ \text{Average points per game for Player A} = \frac{80 \text{ points}}{4 \text{ games}} = 20 \text{ points per game.} \]

For Player B, the data points are:

  • (0, 0)
  • (3, 45)
  • (5, 75)

The average points scored for Player B can similarly be calculated. The total points at the final game (5 games) is 75 points. Therefore:

\[ \text{Average points per game for Player B} = \frac{75 \text{ points}}{5 \text{ games}} = 15 \text{ points per game.} \]

Now, we can compare the averages:

  • Player A: 20 points per game
  • Player B: 15 points per game

Thus, Player A averaged more points than Player B.

The correct answer is B: Player A averaged more points than Player B. Player A averaged 20 points per game.