Concept explainers
a.
Is shipping cost a function of merchandise cost? Explain.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 37E
Shipping cost is a function of merchandise cost.
Explanation of Solution
Given:
The table shows the amount charged for standard ground shipping by an online electronic store.
Calculation:
We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.
We also know that for a relation to be a function, one x- value cannot have two y -values, while two x- values can have same y- value.
Shipping cost is a function of merchandise cost because each merchandise costcorresponds to exactly one out-put (one shipping cost).
Therefore, shipping cost is a function of merchandise cost.
b.
Is merchandise cost a function of shipping cost?
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 37E
Merchandise cost is not a function of shipping cost.
Explanation of Solution
Given:
The table shows the amount charged for standard ground shipping by an online electronic store.
Calculation:
We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.
We also know that for a relation to be a function, one x- value cannot have two y -values, while two x- values can have same y- value.
Merchandise cost is not a function of shipping costbecause each shipping cost corresponds to many out-puts (different merchandise costs).
Therefore, merchandisecost is not a function of shipping cost.
Chapter 8 Solutions
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