Concept explainers
(a)
To find:The equation relating the cost
(a)
Answer to Problem 37IP
The equation relating the cost
Explanation of Solution
Given information:
A craft store is offering the specials shown for different materials:
Craft Store Sale | |
Ribbon | |
Fleece | |
Satin fabric | |
Quilting fabric |
Calculation:
The constant of proportionality for the cost of Ribbon per yard is,
Hence, the cost of ribbon per yard is
Let
The cost of ribbon is calculated as,
The constant of proportionality for the cost of fleece per yard is,
Hence, the cost of fleece per yard is
Let
The cost of fleece is calculated as,
The constant of proportionality for the cost of satin fabric per yard is,
Hence, the cost of satin fabric per yard is
Let
The cost of satin fabric is calculated as,
The constant of proportionality for the cost of quilting fabric per yard is,
Hence, the cost of quilting fabric per yard is
Let
The cost of ribbon is calculated as,
Therefore, the equation relating the cost
(b)
To find:Graph the cost of each material per yard on the coordinate plane and check the material with least and most cost.
(b)
Answer to Problem 37IP
The graph of the cost of each material is shown in Figure(1). The ribbon have the least cost per yard and the fleece have the most cost per yard.
Explanation of Solution
Given information:
A craft store is offering the specials shown for different materials:
Craft Store Sale | |
Ribbon | |
Fleece | |
Satin fabric | |
Quilting fabric |
Calculation:
As calculated in part(a), the equation relating the cost
Graph these equations on the coordinate plane for the graph.
Figure(1)
The steepest line has the most cost and the line with least steep has the least cost.
Therefore, the ribbon has the least cost per yard and the fleece has the most cost per yard.
(c)
To find:The cost to buy
(c)
Answer to Problem 37IP
The cost of
Explanation of Solution
Given information:
A craft store is offering the specials shown for different materials:
Craft Store Sale | |
Ribbon | |
Fleece | |
Satin fabric | |
Quilting fabric |
Calculation:
As calculated in part(a), The cost of ribbon for
The distance unit for inches into yards is,
Hence,
Substitute
Hence, the cost of
As calculated in part(a), The cost of fleece for
The distance unit for meters into yards is,
Hence,
Substitute
Hence, the cost of
Therefore, the cost of
Chapter 5 Solutions
Glencoe Math Accelerated, Student Edition
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