Answer :
Certainly! Let's correctly order the players by their points per game (PPG) from least to greatest, and ensure that Casey's mistake is rectified.
### Step 1: Calculating Points Per Game for Each Player
Daniela's PPG:
Daniela scored 101 points in 5 games.
[tex]\[ \text{PPG}_{\text{Daniela}} = \frac{101 \text{ points}}{5 \text{ games}} = 20.2 \text{ points per game} \][/tex]
Casey's PPG:
Casey scored 154 points in 8 games.
[tex]\[ \text{PPG}_{\text{Casey}} = \frac{154 \text{ points}}{8 \text{ games}} = 19.25 \text{ points per game} \][/tex]
Hope's PPG:
Hope scored 132 points in 7 games.
[tex]\[ \text{PPG}_{\text{Hope}} = \frac{132 \text{ points}}{7 \text{ games}} \approx 18.857 \text{ points per game} \][/tex]
### Step 2: Listing the Points Per Game
Now we have the points per game for each player:
- Daniela: 20.2 points per game
- Casey: 19.25 points per game
- Hope: 18.857 points per game
### Step 3: Ordering the Players by Points Per Game from Least to Greatest
- Hope: 18.857 points per game
- Casey: 19.25 points per game
- Daniela: 20.2 points per game
So, the correct order from least to greatest points per game is:
1. Hope
2. Casey
3. Daniela
### Conclusion
Casey's initial work contained a mistake in ordering the players by their points per game. The correct order, calculated precisely, places Hope with the least points per game, followed by Casey, and then Daniela with the greatest points per game.
### Step 1: Calculating Points Per Game for Each Player
Daniela's PPG:
Daniela scored 101 points in 5 games.
[tex]\[ \text{PPG}_{\text{Daniela}} = \frac{101 \text{ points}}{5 \text{ games}} = 20.2 \text{ points per game} \][/tex]
Casey's PPG:
Casey scored 154 points in 8 games.
[tex]\[ \text{PPG}_{\text{Casey}} = \frac{154 \text{ points}}{8 \text{ games}} = 19.25 \text{ points per game} \][/tex]
Hope's PPG:
Hope scored 132 points in 7 games.
[tex]\[ \text{PPG}_{\text{Hope}} = \frac{132 \text{ points}}{7 \text{ games}} \approx 18.857 \text{ points per game} \][/tex]
### Step 2: Listing the Points Per Game
Now we have the points per game for each player:
- Daniela: 20.2 points per game
- Casey: 19.25 points per game
- Hope: 18.857 points per game
### Step 3: Ordering the Players by Points Per Game from Least to Greatest
- Hope: 18.857 points per game
- Casey: 19.25 points per game
- Daniela: 20.2 points per game
So, the correct order from least to greatest points per game is:
1. Hope
2. Casey
3. Daniela
### Conclusion
Casey's initial work contained a mistake in ordering the players by their points per game. The correct order, calculated precisely, places Hope with the least points per game, followed by Casey, and then Daniela with the greatest points per game.
