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.

Question

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.

Answer 1

To determine which player averaged more points per game, we can calculate the average points per game for both players based on the provided data points.

Player A:

The data points for Player A are:

• (0, 0)
• (2, 40)
• (4, 80)

To calculate the average, we note the points scored and the number of games played:

1. From game 0 to game 2 (2 games), there are 40 points scored. Average = \( \frac{40}{2} = 20 \) points per game.
2. From game 2 to game 4 (2 games), there are an additional 40 points scored. Average = \( \frac{80 - 40}{2} = 20 \) points per game.
3. From game 0 to game 4 (4 games), total points scored is 80.

To find the overall average points per game: \[ \text{Total points} = 80\quad \text{Total games} = 4 \] \[ \text{Average for Player A} = \frac{80}{4} = 20\quad \text{points per game} \]

Player B:

The data points for Player B are:

• (0, 0)
• (3, 45)
• (5, 75)

1. From game 0 to game 3 (3 games), there are 45 points scored. Average = \( \frac{45}{3} = 15 \) points per game.
2. From game 3 to game 5 (2 games), there are an additional 30 points scored (75 - 45). Average for these 2 games = \( \frac{30}{2} = 15 \) points per game.
3. From game 0 to game 5 (5 games), total points scored is 75.

Calculating the overall average points per game: \[ \text{Total points} = 75\quad \text{Total games} = 5 \] \[ \text{Average for Player B} = \frac{75}{5} = 15\quad \text{points per game} \]

Conclusion:

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

Player A averaged more points per game than Player B.