SOLUTION: Hello, I need some help with a word problem: A drama club is planning a bus trip to NYC to see a Broadway play. The cost per person for the bus rental varies inversely as the

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Question 384267: Hello, I need some help with a word problem:
A drama club is planning a bus trip to NYC to see a Broadway play. The cost per person for the bus rental varies inversely as the number of people going on the trip. It will cost $31 per person if 50 people go on the trip. How much will it cost per person if 81 people go on the trip?
Thanks for the help!
Denise

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A drama club is planning a bus trip to NYC to see a Broadway play. The cost per person for the bus rental varies inversely as the number of people going on the trip.
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c = k/n
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Solve for "k":
It will cost $31 per person if 50 people go on the trip.
31 = k/50
k = 1550
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How much will it cost per person if 81 people go on the trip?
c(n) = 1550/n
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c(81) = 1550/81
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c(81) = $19.14
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Cheers,
Stan H.
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