BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.10, Problem 75E

a.

To determine

Find a linear equation that relates C and d .

Expert Solution

Answer to Problem 75E

  C=14d+260

Explanation of Solution

Calculation:

The cost of driving 480 mi is $380 for May.

The cost of driving 800 mi is $460 for June.

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

  y2y1x2x1=460380800480=14

So, the line joining the points is

  C380=14d120C=14d+260

Where C is the cost of journey and d is the distance travelled.

Hence, the linear equation that relates C and d is C=14d+260

b.

To determine

Use part (a) to predict the cost of driving 1500 mi per month.

Expert Solution

Answer to Problem 75E

  $635

Explanation of Solution

Calculation:

When d=1500 mi per month ,

  C=14×1500+260C=$635

Hence, the cost of driving 1500 mi per month is $635

c.

To determine

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

Expert Solution

Answer to Problem 75E

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.10, Problem 75E , additional homework tip  1

The slope represents cost per mile.

Explanation of Solution

Calculation:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.10, Problem 75E , additional homework tip  2

Note that the cost is represented on yaxis and the distance travelled is represented on xaxis .

Hence, the slope represents cost per mile.

d.

To determine

What does yintercept of the graph represents?

Expert Solution

Answer to Problem 75E

The yintercept represents the monthly fixed cost.

Explanation of Solution

Calculation:

When d=0 ,

  C=$260

which represents the monthly rental spent toward the car.

Hence, the yintercept represents the monthly fixed cost.

e.

To determine

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

Expert Solution

Answer to Problem 75E

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.

Explanation of Solution

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.

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