To find the score for the last game (let's denote it as \( s \)), we need to set up an equation that will represent Carlos's average points per game after 7 games.
Carlos wants to average 25 points per game over 7 games. This means the total number of points he needs over 7 games is:
\[ 25 \times 7 = 175 \]
Next, we need to add up the points he has scored in the first 6 games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
He will need to reach a total of 175 points after 7 games, so we can set up the following equation:
\[ 143 + s = 175 \]
Now, we can rearrange this equation to find \( s \):
\[ s = 175 - 143 \] \[ s = 32 \]
So, Carlos must score 32 points in the last game to achieve his average of 25 points per game.
From the given responses, the correct representation to find the score for the last game that would give Carlos the desired average would be:
\[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]
Therefore, the correct response is:
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 27 plus s over 7 End Fraction equals 25.