Question

Question
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+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+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+277+s=25

Answer 1

To find the score for the last game that will give Carlos an average of 25 points per game, you can use the following approach:

First, calculate the total points Carlos needs to average 25 points over 7 games. Since he wants to average 25 points per game, the total points over 7 games would be:

\[
25 \text{ points/game} \times 7 \text{ games} = 175 \text{ points}
\]

Next, sum the points he has scored in the first 6 games:

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

Now, let \( s \) be the score in the last game. To find \( s \), we set up the equation:

\[
143 + s = 175
\]

Now, we can solve for \( s \):

\[
s = 175 - 143
\]
\[
s = 32
\]

Therefore, Carlos needs to score 32 points in the last game to achieve an average of 25 points per game.

The best equation to represent the situation from the given responses is:

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

This is equivalent to:

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

So, the correct response that forms the equation needed to find the score for the last game is:

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