A drama club is planning a bus trip to New York City to see a broadway play. The cost per person for the bus rental varies inversely to the number of people going on the trip. It will cost $30 per person if 44 people go on the trip. How much will it cost per person if 65 people go on the trip? Round your answer to the nearest cent, if necessary.
Let x be the number of people going on the trip and y be the cost per person.
We know that the cost per person varies inversely with the number of people, so we have the equation:
xy = k
where k is a constant.
When 44 people go on the trip, the cost per person is $30, so we have:
44(30) = k
1320 = k
Now we can find the cost per person when 65 people go on the trip:
65y = 1320
y = 20.31
Therefore, it will cost $20.31 per person if 65 people go on the trip.