Start your trial now! First week only $4.99!*arrow_forward*

BuyFind*launch*

6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.10, Problem 75E

a.

To determine

Find a linear equation that relates

Expert Solution

**Calculation: **

The cost of driving

The cost of driving

The cost and distance are considered coordinates. The slope of the line is

So, the line joining the points is

Where

Hence, the linear equation that relates

b.

To determine

Use part

Expert Solution

**Calculation: **

When

Hence, the cost of driving

c.

To determine

Draw the graph of the linear equation. What does the slope of the line represent?

Expert Solution

The slope represents cost per mile.

**Calculation: **

Note that the cost is represented on

Hence, the slope represents cost per mile.

d.

To determine

What does

Expert Solution

The

**Calculation: **

When

which represents the monthly rental spent toward the car.

Hence, the

e.

To determine

Why is a linear relationship a suitable model for this situation?

Expert Solution

A linear fuction gives a suitable model because we would expect the cost of driving to be more or less proportional to the number of miles driven.

**Calculation: **

A linear fuction gives a suitable model because we would expect the cost of driving to be more or less proportional to the number of miles driven.

Hence, a linear relationship is a suitable model for this situation.