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.
(1 point)
Responses
A. $48.00
B. $24.00
C. $12.50
D. $33.00
A. $48.00
To solve this problem, we can set up a proportion:
$30 = k/44
Multiplying both sides by 44, we get:
$30 * 44 = k
k = $1320
Now that we have the constant of variation (k), we can plug it into the equation when 55 people go on the trip:
Cost per person = k/55
Cost per person = $1320 / 55
Cost per person = $24.00
Therefore, the cost per person if 55 people go on the trip is $24.00.