Question

A hotel chain charges $80 each night for the first two nights amd $60 for each additional night's stay. The total cost T is a function of the number of nights x that a guest stays.
Complete the expression in the following piecewise defined function.
T(x)= if 0

Answer 1

The cost s $80 a night for the first two nights. Therefore the total cost is
T(x) = 80x,  x ≤ 2

The cost is $60 a night for each additional night after 2 nights. Therefore
T(x) = 80x + 60(x-2)
       = 140x - 120, x > 2

Answer:
The piecewise function for the total cost is
T(x) = 80x,  x ≤ 2,
       = 140x - 120, x > 2