Question

15 point question

The cost per person c of chartering a tour bus
varies inversely as the number of passengers
n. If it costs $22.50 per person to charter a
bus for 20 passengers, how much will it cost
per person to charter a bus for 36 passengers?

Answer 1

It will cost $12.5 per person to charter a bus for 36 passengers

Explanation:

The cost per person c of chartering a tour bus varies inversely as the number of passengers n.

We can write:

`c\:\alpha \:(1)/(n) \\c=(k)/(n)`

where k is constant of proportionality

We are given when c = 22.50, n = 20

We need to find c when n = 36

First using c = 22.50, n = 20 we will find k, the constant of proportionality

`c=(k)/(n)\\22.50=(k)/(20)\\k=22.50 * 20\\k=450`

So, we get k = 450

Now, we will find c when n = 36

`c=(k)/(n)\\c=(450)/(36)\\c=12.5`

So, we get the value of c: c = 12.5

Therefore, It will cost $12.5 per person to charter a bus for 36 passengers