To find the score for the last game that will give Carlos an average of 25 points per game, we can set up an equation based on the definition of an average.
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First, calculate the total points scored in the first 6 games: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
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Let \( s \) represent the score in the last game. The total number of games is 7. To average 25 points per game over 7 games, we need the total scores to be \( 7 \times 25 = 175 \).
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We can set up the equation: \[ \frac{143 + s}{7} = 25 \]
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To match any of the provided options more closely, we can simplify this: \[ 143 + s = 175 \]
From this analysis, the appropriate equation that helps find the score for the last game is: \[ \frac{143 + s}{7} = 25 \]
So the correct choice in the format provided would be: Start Fraction 143 + s over 7 End Fraction equals 25
This option captures the calculation needed to determine what Carlos needs to score in the last game to achieve his desired average.
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