To find the score for the last game that will give Carlos an average of 25 points per game after 7 games, we first need to express the situation mathematically.
Carlos has played 6 games and has scored the following points: 27, 18, 24, 32, 15, and 27. We can calculate the total number of points scored in those games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
Let \( s \) be the score for the last (7th) game. To find the average over 7 games, we can set up the equation:
\[ \frac{143 + s}{7} = 25 \]
This equation states that the total points scored (143 points from the first 6 games plus \( s \) for the last game) divided by the number of games (7) should equal the desired average (25 points).
Thus, the correct equation to find the score for the last game is:
\[ \frac{143 + s}{7} = 25 \]
This means the appropriate answer from your provided options is not explicitly listed, but it follows the format of:
\[ 143 + s = 25 \times 7 \] Alternatively, you could choose to work with any equivalent expression involving these variables to set up a correct framework for solving for \( s \).