Question

Creating One-Variable Equations & Inequalities Quick Check
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Question
Carlos is playing basketball this season. He is trying to average 25 points per game. He has scored 27, 18, 24, 32, 15, and 27 points in the previous 6 games. What equation can help you find the score for the last game that will give Carlos an average of 25 points?(1 point)
Responses

27+18+24+32+15+17+s7=25
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 17 plus s over 7 End Fraction equals 25

27+18+24+32+15+27+s7=25
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 27 plus s over 7 End Fraction equals 25

143s7=25
Start Fraction 143 s over 7 End Fraction equals 25

27+18+24+32+15+277+s=25

Answer 1

To find the score for the last game that will give Carlos an average of 25 points per game over 7 games, we need to set up the equation for the average.

1. First, we calculate the total points scored in the first 6 games:
- Points scored: 27, 18, 24, 32, 15, and 27.
- Total = 27 + 18 + 24 + 32 + 15 + 27 = 143.

2. Let the score for the last game be represented as \( s \).

3. The average score over 7 games should equal 25. The formula for the average is the total points scored divided by the number of games:
\[
\text{Average} = \frac{\text{Total Points}}{\text{Number of Games}}.
\]

4. Thus, we set up the equation:
\[
\frac{143 + s}{7} = 25.
\]

The correct response is:
\[
\frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25.
\]

From the provided options, it looks like the correct one is:

**27 + 18 + 24 + 32 + 15 + 27 + s / 7 = 25.**