To find the score for the last game that will give Carlos an average of 25 points per game over 7 games, we first need to calculate the total points he needs to have after 7 games.
Since he wants to average 25 points over 7 games, he needs a total of:
\[ 25 \times 7 = 175 \text{ points} \]
Next, we will sum up the points he has scored in the previous 6 games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \text{ points} \]
Let \( s \) be the score in his last game. Then, the total points after 7 games can be expressed as:
\[ 143 + s \]
We want this total to equal 175 points to achieve the average of 25 points per game:
\[ 143 + s = 175 \]
To find the corresponding equation from the provided options, we can rewrite it as:
\[ (27 + 18 + 24 + 32 + 15 + 27 + s) / 7 = 25 \]
So, the correct equation that represents the situation is:
\[ (27 + 18 + 24 + 32 + 15 + 27 + s)/7 = 25 \]
Thus, the answer is:
(27 + 18 + 24 + 32 + 15 + 27 + s)/7 = 25
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