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
Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
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