3. 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)

Question

Responses

(27+18+24+32+15+17+s)7=25
the fraction with numerator open paren 27 plus 18 plus 24 plus 32 plus 15 plus 17 plus s close paren and denominator 7 is equal to 25

143s7=25
143 s over 7 is equal to 25

(27+18+24+32+15+27)7+s=25
the fraction with numerator open paren 27 plus 18 plus 24 plus 32 plus 15 plus 27 close paren and denominator 7 plus s is equal to 25

(27+18+24+32+15+27+s)7=25

Answer 1

To determine the score Carlos needs in the last game to achieve an average of 25 points per game over 7 games, we must first sum his current scores and then set up an equation for the average.

Carlos's current scores are: 27, 18, 24, 32, 15, and 27. So, the total from these games is:

27 + 18 + 24 + 32 + 15 + 27 = 143

If we let \( s \) be the score Carlos gets in the last game, the total score for all 7 games will be \( 143 + s \).

The average score over 7 games can then be expressed as:

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

We want this average to equal 25, so the equation we set up is:

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

Therefore, the correct response from the options provided would be:

\[ (27 + 18 + 24 + 32 + 15 + 27 + s) \div 7 = 25 \]

(Note: this matches the format of a correct equation.) If we refer back to the choices given, the choice that accurately represents this equation in the framework of your question is:

(27+18+24+32+15+27+s) / 7 = 25