Concept explainers
a.
To state: A function that gives the retail price R in terms of the cost C if the markup for women's athletic shoes is 40%.
The resultant function is
Given information:
At a clothing center a manager is determining the retail prices of items so that they can be tagged and placed on the sales floor.
The given function is
Calculation:
Write the given equation:
Substitute M as 40% into the equation,
Simplify,
Therefore, the function is
b.
To state: The inverse of the function from part (a).
The inverse function is
Given information:
The function from part (a) is
Explanation:
Write the given function:
Now divide both sides of the equation by 1.4,
Therefore, the inverse of the function is
c.
To state: The cost of a pair of women’s athletic shoes that has a retail price of $60 using the inverse function.
The cost of a pair of shoes is $42.86.
Given information:
The inverse function from part (b) is
Calculation:
Write the inverse function:
Now substitute the value of R as $60,
Therefore, the cost of a pair of women’s athletic shoes is $42.86.
Chapter 3 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