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

Answer:

$c=\ 37.5$

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 $y*x=k$ 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

$c*(40)=1,500$

$c=\ 37.5$