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

143s7=25
Start Fraction 143 s over 7 End Fraction equals 25

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

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

1 answer

To find the score \( s \) for the last game that will allow Carlos to average 25 points per game over 7 games, we first need to calculate his total score after 6 games and set up the equation for the average.

Carlos has scored the following points in his last 6 games: 27, 18, 24, 32, 15, and 27.

Let's calculate the total score for these 6 games:

\[ 27 + 18 + 24 + 32 + 15 + 27 = 143 \]

Now, if \( s \) is the score for the last game, the total score over 7 games would be \( 143 + s \).

To find the average score over these 7 games, we set up the equation:

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

This equation allows us to solve for \( s \) to give Carlos an average of 25 points per game after 7 games.

Thus, the correct equation from the provided options is:

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

In terms of the format you've provided, the correct response is:

27+18+24+32+15+27+s7=25