To find the score for the last game that will give Carlos an average of 25 points per game over 7 games, we first need to determine the total number of points he needs to average that score.
If Carlos wants to average 25 points over 7 games, the equation to find the total points required is:
\[ 25 \times 7 = 175 \]
Next, we need to calculate the total points he has scored in the first 6 games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
Let \( s \) represent the score in the last game. The equation that represents the total points scored over 7 games is:
\[ 143 + s = 175 \]
This means we can rearrange the equation to find \( s \):
\[ s = 175 - 143 \]
Hence, the required score in the seventh game will be:
\[ s = 32 \]
So the appropriate equation from your provided options to help find the score for the last game that will give Carlos an average of 25 points is:
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 27 plus s over 7 End Fraction equals 25
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