Question

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? Round your answer to the nearest cent, if necessary.

Answer 1

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 a constant of proportionality.

We can find k by using the given information that it will cost $30 per person if 44 people go on the trip:

30 = k/44

k = 1320

Now we can use this value of k to find the cost per person if 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.

Answer 2

since xy is constant, you want y such that
20y = 30*44
y = 66