Question
Asked Feb 25, 2020
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if x > 100
x)
(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 ni
for the first two nights and $50 for each additional nigh
stay. The total cost T is a function of the number of nigl
that a guest stays.
87.
(a) Complete the expressions in the following piecewis
defined 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?
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if x > 100 x) (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 ni for the first two nights and $50 for each additional nigh stay. The total cost T is a function of the number of nigl that a guest stays. 87. (a) Complete the expressions in the following piecewis defined 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?

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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):

Calculus homework question answer, step 1, image 1

Step 2

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

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

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

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