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

Statement Problem: 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?

Solution:

Let the cost per person for the bus rental be c;

Let the number of people going on the trip be n;

`c\propto(1)/(n)`
`\begin{gathered} c=(k)/(n) \\ \text{Where k is the constant of proportionality;} \\ k=cn \\ c=30,n=44 \\ k=30*44 \\ k=1320 \end{gathered}`

Then, we have;

`\begin{gathered} \text{When;} \\ n=20,c=\text{?} \\ c=(k)/(n) \\ c=(1320)/(20) \\ c=66.00 \end{gathered}`

If 20 people go on the trip, the cost per person is;

`\text{ \$66.00}`