To find the equation that will help you determine Carlos's score in the last game to achieve an average of 25 points per game, we need to set up the equation correctly.
Carlos has played 6 games and wants to find the score for the 7th game (let's call it \(s\)). The average score he is aiming for is 25 points over 7 games.
First, we calculate his total score for the 6 games:
- The points scored in the previous games are: 27, 18, 24, 32, 15, and 27.
- Adding these together gives us: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
Now, if we want the average score for 7 games to be 25, we can express this with the following equation: \[ \frac{143 + s}{7} = 25 \]
This equation shows that the total points scored (the sum of points in the first 6 games plus the points scored in the last game, \(s\)) divided by the total number of games (7) should equal 25.
Thus, the correct equation that will help find the score for the last game is: \[ \frac{143 + s}{7} = 25 \]
Among the options given, the correct choice is: \(Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 27 plus s over 7 End Fraction equals 25\).