BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.1, Problem 16E
To determine

To sketch: The market value of a new car as a function of time for a period of 20 years.

Expert Solution

Explanation of Solution

Take the time period of 20 years in the x-axis and the market value over the year in the y-axis. The relation between the year and the market value is a function of time.

As the year passes and the car is well-maintained, the market value of the car depreciates. Thus, the rough graph of the market value of a new car over a period of 20 years is shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.1, Problem 16E

From Figure 1, it is observed that there is a rapid decrease in the value of the car in the initial stage and later on, there is a gradual decrease in the value of the car.

Note that the market value of the car is inversely proportional to the period.

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