Question 131034: marie is going to celebrate her 18th birthday with a big party which will be held in a banquet hall. she has narrowed her location choices to two banquets halls. betty's banquet hall charges $2,000 for the hall and $35 per dinner guest. marco's banquet hall charges $1,400 for the hall and $45 per dinner guest. both places are very nice but marie wants to save as much money as possible. make and use tables,graphs,and equations to help marie deside on the best place to have her party
Answer by checkley71(8403)   (Show Source):
You can put this solution on YOUR website! ONE WAY IS TO FIND THE BREAK EVEN POINT FOR THESE 2 OFFERINGS:
2000+35X=1400+45X WHERE X IS THE NUMBER OF GUESTS.
35X-45X=1400-2000
-10X=-600
X=-600/-10
X=60 GUESTS WILL MAKE BOTH OFFERS THE SAME.
THEREFORE ANY NUMBER LESS THAN 60 WILL MAKE THE $1400 HALL THE CHEAPER OFFER BY $10 PER GUEST.
MORE THAN 60 QUESTS WILL MAKE THE $2000 HALL THE CHEAPER OFFER BY $10 PER QUEST.
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