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

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+17+s7=25
Start Fraction 27 plus 18 plus 24 plus 32 plus 15 plus 17 plus s over 7 End Fraction equals 25

C. 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

D. 143s7=25

Answer 1

choose one idito

Answer 2

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

First, we need to sum the points scored in the first 6 games:

\(27 + 18 + 24 + 32 + 15 + 27 = 143\)

Next, let \(s\) be the score for the last game. The total number of games played when including the last game is 7. To average 25 points over 7 games, the equation can be set up as:

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

Now, we can multiply both sides by 7 to eliminate the fraction:

\[
143 + s = 175
\]

This implies:

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

Now looking at the response options:

A. \( \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \)

B. \( \frac{27 + 18 + 24 + 32 + 15 + 17 + s}{7} = 25 \)

C. \( \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \)

D. \( \frac{143 + s}{7} = 25 \)

The correct choices that accurately express the situation are **A** and **C**, as both properly set up the average calculation with the sum of his scores plus the unknown score \(s\) divided by the total number of games, which is 7.

Option D is also accurate since it reflects the sum directly but in relation to the average formula.

So, the best ways to express the situation are ***A, C, and D***.

Answer 3

The best equation that represents the scenario is:

**C.** \(\frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25\)

This option correctly sets up the equation to find the score \(s\) Carlos needs in the last game to average 25 points across all 7 games.