you would need a function to determine whether to use a formula for 1 or 2 nights or a formula for more than 2 nights
T(x)={a if x <_ 2, b if x > 2}
if it's 2 nights or less use option a, a = 75x
if its longer than 2 days use option b, b= 50x + 50
Answer:
t = 75x {x ≤ 2}
t = 150 + 50x {x > 2}
Step-by-step explanation:
A hotel chain charges $75 per night for first two nights.
If the number of nights of the stay are x then charges for x nights
= 75x where x ≤ 2
If the stay is for than 2 nights then charges for x nights
= Charges for two first 2 nights(@$75 per night) + charges for other than initial 2 nights (@$50 per night)
= (75×2) + 50x where x > 2
Therefore total cost of the hotel if represented by t then the function will be
t = 75x {x ≤ 2}
t = 150 + 50x {x > 2}
