To find the score for the last game that will help Carlos average 25 points per game, you need to set up an equation based on the average formula.
Carlos wants an average of 25 points over 7 games. The total points scored in 7 games would be \( 25 \times 7 = 175 \).
He has already scored the following in the first 6 games:
- 27
- 18
- 24
- 32
- 15
- 27
First, we can sum the points he has scored thus far:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
Let \( s \) be the score in the last game. The equation for the total amount of points scored can be written as:
\[ 143 + s = 175 \]
To find \( s \), you would rearrange the equation:
\[ s = 175 - 143 \] \[ s = 32 \]
Thus, the equation that represents the average condition is \( \frac{143 + s}{7} = 25 \).
From the provided responses, the best fit to this equation format would be:
the fraction with numerator 27 plus 18 plus 24 plus 32 plus 15 plus 27 plus s and denominator 7 is equal to 25
However, it mistakenly includes the second "27" but does convey the right format from average perspective. The simpler equation to arrive at 25 through total points is clearer with the first equation outlined above:
\[ 143 + s = 175 \]
So, you can simplify it as shown: \( s + 143 = 175 \).