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 know that the cost per person varies inversely with the number of people, so we can write the equation as:
y = k/x
where k is the constant of variation.
Plugging in the values from the first scenario where 44 people go on the trip and it costs $30 per person:
30 = k/44
k = 30 * 44
k = 1320
Now, we want to find the cost per person if 55 people go on the trip, so we can plug in the values into the equation:
y = 1320/55
y = 24
Therefore, if 55 people go on the trip, it will cost $24 per person.
Therefore, the answer is B. $24.00