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

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) (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.
---
c = k/n
--------------
Solve for "k":
It will cost $31 per person if 50 people go on the trip.
31 = k/50
k = 1550
---
How much will it cost per person if 81 people go on the trip?
c(n) = 1550/n
------
c(81) = 1550/81
-----
c(81) = $19.14
====================
Cheers,
Stan H.
===========
RELATED QUESTIONS
PLEASE HELP ME!! a drama club is planning a bus trip to New York City to see a Broadway... (answered by rfer)

A drama club is planning a bus trip to New York City to see a Broadway play. The cost per (answered by ankor@dixie-net.com)

A club is going on a bus trip to NYC to see a Broadway play. The cost per person for... (answered by venugopalramana,Earlsdon)

Here is my problem, I need to solve: The drama club sold 421 tickeets to its play for... (answered by rfer)

Please help me with this problem. The astronomy club at King Middle School is planning (answered by jim_thompson5910)

It's a word problem that I'm having trouble setting up. 'Your school's drama club (answered by Earlsdon)

A college charters a bus for $1900 to take a group of students to see a Broadway... (answered by josmiceli)

A college charters a bus for $1500 to take a group of students to see a Broadway... (answered by josgarithmetic,ankor@dixie-net.com)

A school club is planning a bus trip to the wildlife park. A bus which will hold up to 45 (answered by mananth)