arlos 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+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

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

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

1 answer

To find the score for the last game that will help Carlos average 25 points per game over 7 games, we can use the following equation.

First, we calculate the total points Carlos needs to average 25 points over 7 games:

\[ 25 \times 7 = 175 \]

Next, we need to sum the points he has scored in the previous 6 games:

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

Let \( s \) represent the score in the last game. We then set up the equation:

\[ 143 + s = 175 \]

Now to solve for \( s \):

\[ s = 175 - 143 = 32 \]

Thus, the equation that allows you to find the score Carlos needs in his last game is:

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

This corresponds to the response:

27 + 18 + 24 + 32 + 15 + 27 + s over 7 equals 25.

So the equation that helps you find the score for the last game is:

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