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 $12.50 $12.50 $33.00 $33.00 $48.00 $48.00 $24.00

Answer 1

To solve this problem, we need to set up an inverse variation equation and then solve for the cost per person when 55 people go on the trip.

Let's denote the cost per person as C and the number of people as N. We know that when 44 people go on the trip, the cost per person is $30:

C = k/N
30 = k/44
k = 30 * 44
k = 1320

Now we can plug in k into the equation and find the cost per person when 55 people go on the trip:

C = 1320/55
C = $24.00

Therefore, the cost per person if 55 people go on the trip will be $24.00.