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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.1, Problem 78E

(a)

To determine

**To find:** The expression according piecewise defined expression.

Expert Solution

The complete expressions is

The hotel chain charges

Let *x* be the number of nights.

The charges for two days or less is,

The charges for more than two days is,

Thus, the complete expressions is

(b)

To determine

**To find:** The value of expression

Expert Solution

Hotel chain charges at

**Given:**

The expression is,

**Calculation:**

The given expression is,

Expression for two nights is,

Substitute
* x* in the above expression to find the value of

So, hotel chain charges at

Expressionof charges for more than two nights is,

Substitute
* x* in equation (1) to find the value of

So, hotel chain charges at

Substitute
* x* in equation (1) to find the value of

So, hotel chain charges at

Thus, hotel chain charges at

(c)

To determine

**To explain:** The resultant of given function at certain values mentioned in part (b).

Expert Solution

This represents the total cost of staying at the hotel.

From part (b),

Hotel chain charges at

This represents the total cost of staying at the hotel.