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, we need to calculate the sum of his scores from the previous games, add the score from the last game, and divide by the total number of games (7).

Carlos's scores for the previous 6 games are:
- 27
- 18
- 24
- 32
- 15
- 27

First, we calculate the total score from the first 6 games:
\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]

Let \( s \) represent the score in the last game. To find the average score over all 7 games, we set up the following equation:

\[
\frac{143 + s}{7} = 25
\]

This is the correct equation to help you find the score for the last game.

So the correct choice is:
\[
27 + 18 + 24 + 32 + 15 + 27 + s = 25 \cdot 7
\]

Simplified, this means the setup should look like:

\[
\frac{143 + s}{7} = 25
\]

Which directly leads to finding \( s \).