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1 October, 11:04

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

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  1. 1 October, 13:53
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    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
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