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

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

27+18+24+32+15+17+s/7 =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+27/7 +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, you can use the equation based on the requirement for an average.

First, let's find the total points scored in the first 6 games:

- Points in the first 6 games: 27 + 18 + 24 + 32 + 15 + 27 = 143.

Now, if we let \( s \) represent the score in the last game, the total points after 7 games would be \( 143 + s \).

To find the average score per game, we divide the total points by the number of games. Carlos wants an average of 25 points over 7 games, which can be expressed with the equation:

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

This equation represents the condition to find the score \( s \).

From the provided options, the correct equation that helps find the score for the last game is:

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

Alternatively formatted, it becomes:

**(143 + s)/7 = 25**

This can also be rearranged to find \( s \) if necessary, but the important part is identifying the structure of the equation.