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 60 people go on the trip. Round your answer to the nearest cent, if necessary. (1 point) Responses $22.00 $22.00 $40.91 $40.91 $1,320.00 $1,320.00 $21.29
To solve this problem, we can use the formula for inverse variation:
y = k/x
where y is the cost per person, x is the number of people, and k is the constant of variation.
First, we can plug in the values when 44 people go on the trip:
30 = k/44
Solve for k:
30 * 44 = k
k = 1320
Now we can use the value of k to find the cost per person when 60 people go on the trip:
y = 1320/60
y = 22
Therefore, if 60 people go on the trip, it will cost $22 per person. So, the answer is $22.00.