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 20 people go on the trip?
Let's 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 proportionality.
We know that when 44 people go on the trip, it costs $30 per person:
30 = k/44
To solve for k, we can cross-multiply:
k = 30 x 44
k = 1320
Now we can use this value of k to find the cost per person when 20 people go on the trip:
y = 1320/20
y = 66
Therefore, it will cost $66 per person if 20 people go on the trip.