To find the score for the last game that will give Carlos an average of 25 points per game after 7 games, you need to set up the equation for the average.
The total number of points he needs to have after 7 games to achieve an average of 25 points per game is:
\[ 25 \times 7 = 175. \]
Next, you can find the total points he has scored in the first 6 games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143. \]
Let \( s \) represent the score in the last game. The equation to determine \( s \) would be:
\[ 143 + s = 175. \]
So the correct equation that you can use is:
\[ s = 175 - 143. \]
In terms of the options provided, the closest representation would be:
\[ 27 + 18 + 24 + 32 + 15 + 27 + s = 175. \]
This is equivalent to finding:
\[ \text{Average} = \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25. \]
Thus the best response from the options provided would be:
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus s over 7 End Fraction equals 25.
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