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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

A 27+18+24+32+15+277+s=25
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 27 over 7 End Fraction plus s equals 25

B 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

C 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

1 answer

To find the score Carlos needs in the last game to average 25 points per game over 7 games, we can set up the equation based on the average formula.

First, we need to sum his current scores and include the score for the last game \( s \):

  1. The sum of the points scored in the first 6 games: \( 27 + 18 + 24 + 32 + 15 + 27 = 143 \)

  2. To find the average over 7 games, we use the equation: \[ \frac{143 + s}{7} = 25 \]

The correct choice that represents this equation is:

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

This equation represents the average of his points (including the unknown score \( s \) from the last game) equal to 25.