Use the image to answer the question.

Question

Points per Game
(7, 175), (5, 150), (3, 75), (0, 0)
The graph displays the number of points scored and the number of basketball games played. Determine the average points per game.
An average of __ points were scored per game.

Answer 1

To calculate the average points per game from the given data points, we can follow these steps:

1. Identify the total points scored and the total number of games played.

   • From the points given:
     • (7, 175): 7 games, 175 points
     • (5, 150): 5 games, 150 points
     • (3, 75): 3 games, 75 points
     • (0, 0): 0 games, 0 points

2. Calculate the total points scored: \[ 175 + 150 + 75 + 0 = 400 \text{ points} \]

3. Calculate the total number of games played: \[ 7 + 5 + 3 + 0 = 15 \text{ games} \]

4. Now, calculate the average points per game: \[ \text{Average} = \frac{\text{Total Points}}{\text{Total Games}} = \frac{400}{15} \approx 26.67 \]

Therefore, an average of approximately 26.67 points were scored per game.