To find the score for the last game that will give Carlos an average of 25 points per game over 7 games, we start by calculating the total points he needs after 7 games:
- The desired average is 25 points per game.
- For 7 games, the total points needed = 25 points/game * 7 games = 175 points.
Next, we calculate the total points he has scored in the first 6 games:
- Points scored in the first 6 games: 27 + 18 + 24 + 32 + 15 + 27 = 143 points.
Let \( s \) be the score in the last game. To find the score that will give him the required average, we set up the equation:
\[ 143 + s = 175 \]
From the options given, the relevant form would be:
\[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]
This corresponds to the following option:
- 27 + 18 + 24 + 32 + 15 + 27 + s over 7 = 25
So, the correct equation to find the score for the last game is:
27 + 18 + 24 + 32 + 15 + 27 + s over 7 = 25