We know that the cost per person varies inversely with the number of people going on the trip, so we can set up an equation:
k = constant of proportionality
p = number of people
c = cost per person
k = cp
We're given that when 44 people go on the trip, the cost per person is $30:
30 = c(44)
Solving for c, we get:
c = 30/44
Now we can use this value of c to find the cost per person when 20 people go on the trip:
c = k/p
30/44 = k/20
Solving for k, we get:
k = (30/44) * 20
k = 13.64
Now we can use this value of k and the number of people going on the trip (20) to find the cost per person:
c = k/p
c = 13.64/20
c ≈ 0.682
Rounding to the nearest cent, we get:
c ≈ $0.68
So the answer is not one of the listed choices.
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.
A. $44.00
B. $22.00
C. $33.50
D. $66.00
1 answer