Question

A club rent a bus for a trip the cost c in dollars that each person pays to cover the cost of the bus varies inversely with the number of people p who go on the trip it will cost $30 per person if 50 people go on the trip how much will it cost per person and 40 people go on the trip.

Answer 1

`c=\$37.5`

Explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
`y*x=k` or
`y=k/x`

In this problem we have

`c*p=k`

step 1

Find the value of the constant k

For
`c=30, p=50`

substitute

`k=30*50=1,500`

the equation is

`c*p=1,500`

step 2

Find the value of c for
`p=40`

substitute in the equation and solve for c

`c*(40)=1,500`

`c=\$37.5`