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

Answer:

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

Step-by-step explanation:

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

We can write:

$c\:\alpha \:\frac{1}{n} \\c=\frac{k}{n}$

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

$c=\frac{k}{n}\\22.50=\frac{k}{20}\\k=22.50 \times 20\\k=450$

So, we get k = 450

Now, we will find c when n = 36

$c=\frac{k}{n}\\c=\frac{450}{36}\\c=12.5$

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