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CalculusQ&A Libraryif x > 100x)(a) Find C(75), C(90), C(100), and C(105).(b) What do your answers in part (a) represent?87. Cost of a Hotel Stay A hotel chain charges $75 each nifor the first two nights and $50 for each additional nighstay. The total cost T is a function of the number of niglthat a guest stays.87.(a) Complete the expressions in the following piecewisdefined function.if 0 < x < 2= (x),if x > 2}(b) Find T(2), T(3), and T(5).(c) What do your answers in part (b) represent?Question

Asked Feb 25, 2020

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Step 1

1 night cost $75

2 nights cost = 75*2=150

So, when x<2 then charge for x nights is 75x.

If x is greater than 2 then they charge 50 extra for each night.

So for x>2, cost is: 150+[(x-2)*50] = 150+50x-100=50x+50

Answer(a):

Step 2

b) T(2)= 75*2=150

T(3)=50(3)+50=200

T(5)=50(5)+50=30...

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