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: [tex]c=\$37.5[/tex]Step-by-step explanation:we know thatA relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]In this problem we have [tex]c*p=k[/tex]step 1Find the value of the constant kFor [tex]c=30, p=50[/tex]substitute [tex]k=30*50=1,500[/tex]the equation is [tex]c*p=1,500[/tex]step 2Find the value of c for [tex]p=40[/tex]substitute in the equation and solve for c [tex]c*(40)=1,500[/tex] [tex]c=\$37.5[/tex]