To find the score for the last game that will give Carlos an average of 25 points per game, you can use the following approach:
First, calculate the total points Carlos needs to average 25 points over 7 games. Since he wants to average 25 points per game, the total points over 7 games would be:
\[ 25 \text{ points/game} \times 7 \text{ games} = 175 \text{ points} \]
Next, sum the points he has scored in the first 6 games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
Now, let \( s \) be the score in the last game. To find \( s \), we set up the equation:
\[ 143 + s = 175 \]
Now, we can solve for \( s \):
\[ s = 175 - 143 \] \[ s = 32 \]
Therefore, Carlos needs to score 32 points in the last game to achieve an average of 25 points per game.
The best equation to represent the situation from the given responses is:
\[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]
This is equivalent to:
\[ \frac{143 + s}{7} = 25 \]
So, the correct response that forms the equation needed to find the score for the last game is:
27+18+24+32+15+27+s/7=25.