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 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 143s7=25 Start Fraction 143 s over 7 End Fraction equals 25 27+18+24+32+15+277+s=25

Answer 1

To find the score Carlos needs in the last game (let's call it \( s \)) to average 25 points per game over 7 games, we can set up the following equation:

1. First, we need to calculate the total points scored in the first six games:

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

2. Next, we want Carlos to average 25 points over 7 games. The total points needed for an average of 25 points over 7 games is:

\[
25 \times 7 = 175
\]

3. Now we can write the equation to represent the total points scored after 7 games:

\[
143 + s = 175
\]

4. To find \( s \), we can simplify this equation:

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

Thus, the equation that helps find the score for the last game in order to average 25 points is:

\[
143 + s = 175
\]

Alternatively, in a form that uses fractions to represent the average, we could write:

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

So, the best response from the choices given earlier would be:

\[
27 + 18 + 24 + 32 + 15 + 27 + s = 175
\]

This can also be rephrased as:

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

Nevertheless, specifically to choose from your mentioned options, the equation \( 143 + s = 175 \) fulfills the requirement for finding the score \( s \) for the last game to achieve the desired average.