To find the score for the last game that will give Carlos an average of 25 points per game over 7 games, you can use the equation based on the requirement for an average.
First, let's find the total points scored in the first 6 games:
- Points in the first 6 games: 27 + 18 + 24 + 32 + 15 + 27 = 143.
Now, if we let \( s \) represent the score in the last game, the total points after 7 games would be \( 143 + s \).
To find the average score per game, we divide the total points by the number of games. Carlos wants an average of 25 points over 7 games, which can be expressed with the equation:
\[ \frac{143 + s}{7} = 25 \]
This equation represents the condition to find the score \( s \).
From the provided options, the correct equation that helps find the score for the last game is:
27 + 18 + 24 + 32 + 15 + 27 + s/7 = 25
Alternatively formatted, it becomes:
(143 + s)/7 = 25
This can also be rearranged to find \( s \) if necessary, but the important part is identifying the structure of the equation.