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 as 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 55 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.
From the given information, we know that the cost varies inversely with the number of people, so we have the equation:
xy = k
Where k is a constant. We also know that the cost is $30 per person when 44 people go on the trip, so we have:
30(44) = k
k = 1320
Now we can plug in the values of k and x to find the cost per person if 55 people go on the trip:
y = 1320 / 55
y ≈ $24
Therefore, it will cost approximately $24 per person if 55 people go on the trip.