Question

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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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Answer 1

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.**