To find the score for the last game (let's call it \( s \)) that will help Carlos achieve an average of 25 points per game over 7 games, we can set up the equation based on the average formula:
\[ \text{Average} = \frac{\text{Total Points}}{\text{Number of Games}} \]
In this case, the total points scored after 6 games plus the score from the 7th game \( s \) would equal the sum of his previous scores plus \( s\):
The sum of the scores from the 6 games: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
Thus the equation for the average becomes: \[ \frac{143 + s}{7} = 25 \]
This is the correct equation, which corresponds to the first option presented:
27 + 18 + 24 + 32 + 15 + 27 + s = 25
In the correct form, it can be represented as:
\[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]
So the answer 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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