a.
To write: An equation that relates the skating times of the skaters.
Given information:
First speed skater travels
Second speed skater travels
The first skater travels
Concept used:
Use the verbal model.
Calculation:
Let, speed of the second skater is
Speed of the first skater is
Distance for first skater is
Distance for second skater is
Substitute the values into the verbal model:
Conclusion:
Thus, the equation that relates the skating times of the skaters
b.
To calculate: The speed of both skaters.
Speed of the first skater is
Given information:
First speed skater travels
Second speed skater travels
The first skater travels
Concept used:
Algebraically solve the linear equation.
Calculation:
Let, speed of the second skater is
Speed of the first skater:
Distance for first skater is
Distance for second skater is
Substitute the values into the verbal model:
Diagonally multiply and solve for
Now, substitute the value of
Conclusion:
c.
To calculate: How long did the skater state and hence explain.
The skater spent time has
Given information:
First speed skater travels
Second speed skater travels
The first skater travels
Concept used:
Calculation:
And,
Conclusion:
The ratios of both skaters distance traveled to speed are equal because they skated for the same time.
Chapter 5 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