Aclub 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.

Step-by-step explanation:

we know that

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

In this problem we have

step 1

Find the value of the constant k

For

substitute

the equation is

step 2

Find the value of c for

substitute in the equation and solve for c