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

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

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

1 answer

To find the score that Carlos needs in his last game to achieve an average of 25 points per game over 7 games, we can use the following approach:

  1. First, calculate the sum of points he has already scored in the 6 games: \[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]

  2. Let \( s \) be the score he needs in the last game. The total number of games will be 7, so we want the average to equal 25: \[ \frac{143 + s}{7} = 25 \]

This equation allows us to solve for \( s \). Therefore, the correct response from the options you provided is:

\[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]

This corresponds to the option with the correct average calculation: \[ \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \]