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

C 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

D 143s7=25

Answer 1

To find the score for the last game that will give Carlos an average of 25 points per game, we need to first calculate the total points scored in the first 6 games and then set up the equation for the average.

1. Calculate the total points scored in the first 6 games:
27 + 18 + 24 + 32 + 15 + 27 = 143

2. We want the average over 7 games to be 25 points, so the total points after 7 games must be:
Average = Total Points / Number of Games
25 = (143 + s) / 7

Now we can rewrite this equation in a way that is listed among your options:

- Multiply both sides by 7:
25 * 7 = 143 + s
175 = 143 + s

- Subtract 143 from both sides:
s = 175 - 143
s = 32

Now let's evaluate the options provided:

A: \( 27 + 18 + 24 + 32 + 15 + 27 + s = 25 \)
B: \( \frac{27 + 18 + 24 + 32 + 15 + 27 + s}{7} = 25 \)
C: \( \frac{27 + 18 + 24 + 32 + 15 + 17 + s}{7} = 25 \)
D: \( \frac{143 + s}{7} = 25 \)

The correct equation is:

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

or

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

Both B and D set the correct form to find the score for the last game. However, since Option B details all points clearly, it's the most explicit.