To find an equation that will help determine the score Carlos needs in the last game to achieve an average of 25 points per game over 7 games, we start by adding up the points he has scored in the first 6 games:
Points scored:
- Game 1: 27
- Game 2: 18
- Game 3: 24
- Game 4: 32
- Game 5: 15
- Game 6: 27
Total points from the first 6 games: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
Let \( s \) represent the points scored in the 7th game. To find the average score over 7 games, we use the equation: \[ \text{Average} = \frac{\text{Total Points}}{\text{Number of Games}} \] We want the average to be 25 over 7 games, so we set up the equation: \[ \frac{143 + s}{7} = 25 \]
Now we can simplify that. This matches with the following option provided:
- \( \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \)
Thus, the correct equation to find Carlos's score in the last game is: Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 27 plus s over 7 End Fraction equals 25.
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