Question

An extended stay hotel charges guests $160 per night for each of the first five nights. After the first five nights, the hotel charges $95 per night for each of the next five nights. Once a guest has stayed a total of 10 nights, the new rate is $50 per night thereafter. (a) What is the cost of staying 17 nights

Answer 1

Answer:

Let n be the number of nights spent.

 

Since the first two nights are each $75, if n≤2, the $75n

 

Since each additional night after that, is $50, if n>2, such a client pays $150 for the first 2 nights and $50 for each of the other n-2 nights for a total of $[150+50(n-2)] = $(50n+50)

 

So the function for the cost is

 

C(n) = 75n for n ≤ 2

C(n) = 50n+50 for n > 2

Step-by-step explanation: