To find an equation that gives Carlos an average of 25 points after 7 games, we need to consider the total points he needs to average that number over the 7 games.
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Total Points Required: To achieve an average of 25 points per game over 7 games, he needs a total of: \[ 25 \times 7 = 175 \text{ points} \]
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Points Already Scored: We can sum up the points Carlos has already scored during his 6 games: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \text{ points} \]
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Points Needed in the Last Game: Let \( s \) be the points scored in the last game. Therefore, the equation for his total points is: \[ 143 + s = 175 \]
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Final Equation: Rearranging this gives: \[ s = 175 - 143 \] \[ s = 32 \]
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Answer Choice: Now we look for an equation from the responses that correctly represents this scenario. The only equation that fits is: \[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]
Thus, the correct response is: \[ 27 + 18 + 24 + 32 + 15 + 27 + s / 7 = 25 \]
1 answer