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.(1 point) Responses $24.00 $24.00 $48.00 $48.00 $33.00 $33.00 $12.50
$24.00
Explanation: Let x be the number of people going on the trip. We can set up the equation:
k = cost per person
k = 30 / x
Given that the cost per person is $30 when 44 people go on the trip, we can substitute these values in:
30 = 30 / 44
30 = k
Now, we need to find the cost per person when 55 people go on the trip:
k = 30 / 55
k ≈ $24.00
Therefore, it will cost approximately $24.00 per person if 55 people go on the trip.