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+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+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

Answer 1

To find the score Carlos needs in the last game to average 25 points per game over 7 games, we can start by calculating the total points he needs to achieve that average.

To achieve an average of 25 points over 7 games, the total points required would be:

$$25\times 7=175\text{ points}$$

Now, let's calculate the total points Carlos has scored in the previous 6 games:

$$27+18+24+32+15+27=143\text{ points}$$

Let $s$ be the score in the last game. To find how many points he needs in the last game, we can set up the equation:

$$143+s=175$$

To solve for $s$:

$$s=175-143$$

$$s=32$$

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

In terms of the responses given, the correct equation that represents the scenario to find $s$ (the score for his last game) is:

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

This can be rewritten as:

$$27+18+24+32+15+27+s=25\cdot 7$$

Which simplifies to:

$$143+s=175$$

So the answer choice you would want is:

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