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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.1, Problem 79E

(a)

To determine

**To find:** The expression for the piecewise defined expression.

Expert Solution

The complete expressions is

**Given:**

The maximum speed permitted on freeways is
*F* for violating these limits is

**Calculation:**

Let *x* be the speed for driving.

The speed below

The fine for the speed below

There is no fine for the speed between

The speed above

The fine for speed above the

Hence, the complete expressions is,

(b)

To determine

**To find:** The value of expression

Expert Solution

Total fine at

**Given:**

The given expression is,

**Calculation:**

The given expression is,

Expression for speed

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

So, total fine at

Expression for speed

So, total fine at

Expression for speed

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

So, total fine at

Hence, total fine 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),

Total fine at

This represents the total fine at the violating the speed limits.