A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play?
A. 5
B. 6
C. 7
D. 9
E. 12
OA C
Source: Veritas Prep
A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final
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Let n be the number of games the team played before the final game. We can create the equation:BTGmoderatorDC wrote: ↑Tue May 03, 2022 8:14 pmA football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play?
A. 5
B. 6
C. 7
D. 9
E. 12
OA C
Source: Veritas Prep
34 = (35n + 28)/(n + 1)
34n + 34 = 35n + 28
6 = n
So the team played n + 1 = 7 games.
Answer: C
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