SOLUTION: Alley A charges $2.25 per game of bowling and $1.75 for shoe rentals. Alley B charges $2 per game of bowling and $2.75 for shoe rentals. Find the number of games for which the tota

Algebra ->  Coordinate-system -> SOLUTION: Alley A charges $2.25 per game of bowling and $1.75 for shoe rentals. Alley B charges $2 per game of bowling and $2.75 for shoe rentals. Find the number of games for which the tota      Log On


   

Question 1067977: Alley A charges $2.25 per game of bowling and $1.75 for shoe rentals. Alley B charges $2 per game of bowling and $2.75 for shoe rentals. Find the number of games for which the total cost is the same to bowl at each alley.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of games for which
cost to bowl is the same for each alley
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+C%5BA%5D+=+1.75+%2B+2.25n+
+C%5BB%5D+=+2.75+%2B+2n+
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Make +C%5BA%5D+=+C%5BB%5D+
+1.75+%2B+2.25n+=+2.75+%2B+2n+
+.25n+=+1+
+n+=+4+
If 4 games are played in each alley,
the cost is the same
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Here'a a plot of +C%5BA%5D+ and +C%5BB%5D+
+graph%28+500%2C+500%2C+-3%2C+7%2C+-2%2C+15%2C++2.25x+%2B+1.75%2C+2x+%2B+2.75++%29+