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 55 people go on the trip? Round your answer to the nearest cent, if necessary.
a. $48.00
b. $24.00
c. $12.50
d. $33.00
Let x be the number of people going on the trip and y be the cost per person.
We are given that the cost varies inversely with the number of people, so we can write the equation as:
xy = k
where k is a constant.
We are also given that when 44 people go on the trip, the cost per person is $30:
44 * 30 = k
k = 1320
Now we can use this constant to find the cost per person if 55 people go on the trip:
55 * y = 1320
y = 1320 / 55
y = 24
Therefore, the cost per person if 55 people go on the trip is $24.00. Answer: b. $24.00