To find the score for the last game that will help Carlos achieve an average of 25 points per game, we can set up the equation based on the total points scored and the total games played.
Carlos has scored in 6 games: 27, 18, 24, 32, 15, and 27 points. We can first calculate the total points he has scored in these games:
Total points from 6 games = 27 + 18 + 24 + 32 + 15 + 27 = 143
Let \( s \) represent the score in the last (7th) game. To have an average of 25 points over 7 games, we can use the equation:
\[ \frac{143 + s}{7} = 25 \]
This equation states that the total points scored after 7 games (which is 143 + s) divided by the total number of games (which is 7) should equal the desired average (25 points).
Thus, the correct equation to find the score for the last game is:
\[ \frac{143 + s}{7} = 25 \]
This is equivalent to:
\[ 143 + s = 25 \times 7 \]
To summarize, the response that represents the correct setup is:
27 + 18 + 24 + 32 + 15 + 27 + s over 7 = 25, or in simplified form:
\(\frac{143 + s}{7} = 25\).
1 answer