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 65 people go on the trip? Round your answer to the nearest cent, if necessary.(1 point) Responses $24.00 $24.00 $95.33 $95.33 $44.32 $44.32 $20.31
To solve this problem, we can set up a proportion based on the given information.
Let x be the cost per person if 65 people go on the trip.
We know that the cost per person varies inversely with the number of people, so we can write:
30/44 = x/65
Now, we can solve for x:
30 * 65 = 44x
1950 = 44x
x = 1950/44 = 44.32
Therefore, it will cost $44.32 per person if 65 people go on the trip. The answer is $44.32.