To find the score for the last game that will give Carlos an average of 25 points per game, we need to set up an equation based on the average formula.
First, let's calculate the total points Carlos scored in the first 6 games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]
Now, if Carlos plays 7 games and wants to average 25 points per game, the total points he needs to achieve is:
\[ 25 \times 7 = 175 \]
Let \( s \) be the score Carlos gets in the last game. The equation we can set up is:
\[ 143 + s = 175 \]
To express this in terms of an average of 7 games, we can rewrite the equation as:
\[ \frac{143 + s}{7} = 25 \]
So, the correct response should be:
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 27 plus s over 7 End Fraction equals 25
This matches the score calculation and ensures Carlos can reach his goal of 25 points per game average.
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