
Concept explainers
(a)
To Find:The equation relating the cost c to the number of yards n for each material.
(a)

Answer to Problem 37PPS
MaterialFunctionRibbonc=0.89nFleecec=4.75nQuilting Fabricc=2.99nSatin Fabricc=3.45n
Explanation of Solution
Given:The below table show price of difference materials.
MaterialPrice for lengthRibbon$2.67 for 3 yardsFleece$9.50 for 2 yardsQuilting Fabric$11.96 for 4 yardsSatin Fabric$10.35 for 3 yards
MaterialPrice for lengthRibbon$2.67 for 3 yardsFleece$9.50 for 2 yardsQuilting Fabric$11.96 for 4 yardsSatin Fabric$10.35 for 3 yards
For material Ribbon $2.67 for 3 yards.
Rate of Ribbon per yards 2.673≈0.89
Therefore, the function is c=0.89n
For material Fleece $9.50 for 2 yards.
Rate of Fleece per yards 9.502≈4.75
Therefore, the function is c=4.75n
For material Quilting Fabric $11.96 for 4 yards.
Rate of Quilting Fabric per yards 11.964≈2.99
Therefore, the function is c=2.99n
For material Satin Fabric $10.35 for 3 yards.
Rate of Satin Fabric per yards 10.353≈3.45
Therefore, the function is c=3.45n
(b)
To describe: The golden ratio of each objects.
(b)

Answer to Problem 37PPS
The material cost least per yard is ribbon.
The material cost most per yard is Fleece.
Explanation of Solution
Given:The table shown rate of each material.
MaterialFunctionRibbonc=0.89nFleecec=4.75nQuilting Fabricc=2.99nSatin Fabricc=3.45n
Using table to graph each material on same coordinate plane.
The material cost least per yard is ribbon.
The material cost most per yard is Fleece.
The rate is maximum shown most cost per yard.
(c)
To find: The cost to buy 18 inches of ribbon and 10 meters of fleece.
(c)

Answer to Problem 37PPS
Ribbon cost = $0.45
Fleece cost = $51.97
Explanation of Solution
Given:The table shown rate of each material.
MaterialFunctionRibbonc=0.89nFleecec=4.75nQuilting Fabricc=2.99nSatin Fabricc=3.45n
The cost function of ribbon is c=0.89n
Where, n represents in yards. So, first change 18 inches to yard.
Therefore, 18 in=0.5 yard
Cost of 18 inches ribbon =0.89×0.5=0.45
Hence, cost of 18 inches ribbon is $0.45
The cost function of fleece is c=4.75n
Where, n represents in yards. So, first change 10 meters to yard.
Therefore, 10 m=10.94 yard
Cost of 10 metersfleece =4.75×10.94=51.97
Hence, cost of 10 metersfleece is $51.97
Chapter 6 Solutions
Pre-Algebra Student Edition
Additional Math Textbook Solutions
Thinking Mathematically (6th Edition)
University Calculus: Early Transcendentals (4th Edition)
College Algebra (7th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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