Question
Player a
Points y games x
Dots
1 (2,40)
2 (4,80)
Player b
Points y games x
Dots
1 (3,45)
2 (5,75)
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)
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
Points y games x
Dots
1 (2,40)
2 (4,80)
Player b
Points y games x
Dots
1 (3,45)
2 (5,75)
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)
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
Answers
GPT-4o mini
To determine which player averaged more points per game, we need to calculate the average points per game for both players based on the data provided.
**For Player A:**
- Game 1: (2 points / 40 games) = 0.05 points per game
- Game 2: (4 points / 80 games) = 0.05 points per game
Average for Player A:
\[
\text{Average Points/Game for A} = \frac{(2 + 4)}{(40 + 80)} = \frac{6}{120} = 0.05 \text{ points per game}
\]
**For Player B:**
- Game 1: (3 points / 45 games) = 0.0667 points per game
- Game 2: (5 points / 75 games) = 0.0667 points per game
Average for Player B:
\[
\text{Average Points/Game for B} = \frac{(3 + 5)}{(45 + 75)} = \frac{8}{120} = 0.0667 \text{ points per game}
\]
**Comparing the averages:**
- Player A: 0.05 points per game
- Player B: 0.0667 points per game
From the calculation, Player B averaged more points per game than Player A.
Additionally, the options given mention specific point averages (45 and 75 points per game). Given the calculated results, it seems that these may be indications given in error. The conclusion we derive from the calculations above is that **Player B averaged more points than Player A** based on the calculated average points per game values.
Thus, the correct conclusion is:
**Player B averaged more points than Player A.**
**For Player A:**
- Game 1: (2 points / 40 games) = 0.05 points per game
- Game 2: (4 points / 80 games) = 0.05 points per game
Average for Player A:
\[
\text{Average Points/Game for A} = \frac{(2 + 4)}{(40 + 80)} = \frac{6}{120} = 0.05 \text{ points per game}
\]
**For Player B:**
- Game 1: (3 points / 45 games) = 0.0667 points per game
- Game 2: (5 points / 75 games) = 0.0667 points per game
Average for Player B:
\[
\text{Average Points/Game for B} = \frac{(3 + 5)}{(45 + 75)} = \frac{8}{120} = 0.0667 \text{ points per game}
\]
**Comparing the averages:**
- Player A: 0.05 points per game
- Player B: 0.0667 points per game
From the calculation, Player B averaged more points per game than Player A.
Additionally, the options given mention specific point averages (45 and 75 points per game). Given the calculated results, it seems that these may be indications given in error. The conclusion we derive from the calculations above is that **Player B averaged more points than Player A** based on the calculated average points per game values.
Thus, the correct conclusion is:
**Player B averaged more points than Player A.**