a.
To find: The model that gives the value of the mountain bike
The model representing the value of the mountain bike after
The value of the bike after 3 years is $84.375.
Given:
The cost of a new mountain bike is $200.
Its value decreases by 25% each year.
Calculation:
Here, the initial cost is
And, the decay rate is
Now the model is,
Hence, the model representing the value of the mountain bike after
Now, the value of the bike after 3 years is
Hence, the value of the bike after 3 years is $84.375.
b.
To draw: The graph of the model.
Given:
Calculation:
The graph of this model passes through the points
Now the graph is,
c.
To estimate: When the value of the bike is $100.
The value of a mountain bike is $100 after about 2 years.
Given:
Calculation:
From the graph in subpart (b), it can be seen that the value of a bike will be $100 after about 2 years.
Hence, the value of a mountain bike is $100 after about 2 years.
Chapter 4 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education