To find the score Carlos needs in the last game (let's call it \( s \)) to average 25 points per game over 7 games, we can set up the following equation:
- First, we need to calculate the total points scored in the first six games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
- Next, we want Carlos to average 25 points over 7 games. The total points needed for an average of 25 points over 7 games is:
\[ 25 \times 7 = 175 \]
- Now we can write the equation to represent the total points scored after 7 games:
\[ 143 + s = 175 \]
- To find \( s \), we can simplify this equation:
\[ s = 175 - 143 \] \[ s = 32 \]
Thus, the equation that helps find the score for the last game in order to average 25 points is:
\[ 143 + s = 175 \]
Alternatively, in a form that uses fractions to represent the average, we could write:
\[ \frac{143 + s}{7} = 25 \]
So, the best response from the choices given earlier would be:
\[ 27 + 18 + 24 + 32 + 15 + 27 + s = 175 \]
This can also be rephrased as:
\[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]
Nevertheless, specifically to choose from your mentioned options, the equation \( 143 + s = 175 \) fulfills the requirement for finding the score \( s \) for the last game to achieve the desired average.