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

143s7=25
Start Fraction 143 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

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

1 answer

To find the score for the last game that will give Carlos an average of 25 points per game over 7 games, we start by calculating the total points he needs after 7 games:

  1. The desired average is 25 points per game.
  2. For 7 games, the total points needed = 25 points/game * 7 games = 175 points.

Next, we calculate the total points he has scored in the first 6 games:

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

Let \( s \) be the score in the last game. To find the score that will give him the required average, we set up the equation:

\[ 143 + s = 175 \]

From the options given, the relevant form would be:

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

This corresponds to the following option:

  • 27 + 18 + 24 + 32 + 15 + 27 + s over 7 = 25

So, the correct equation to find the score for the last game is:

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