Let $A$ Be the Set of the Following Cities $A = \{ \text { Arm, } M I \text {; Bone, } I D ; \text { Cheek, TX; Doublehead, } A L ; \text { Flbow Lake, } M N \}$

question 127

Multiple Choice

Let $A$ be the set of the following cities: $A = \{ \text { Arm, } M I \text {; Bone, } I D ; \text { Cheek, TX; Doublehead, } A L ; \text { Flbow Lake, } M N \}$ Suppose that these cities are connected by direct airplane service as shown in the figure below. Write a set of ordered pairs that show the direct connections between two cities. For example, $( A , E )$ means a direct connection from Arm to Elbow. Identify the correct set of these ordered pairs, and answer whether this set is a function? (Use $A$ to denote $\text { Arm }$ $B$ to denote $\text { Bone, }$ and so on.)

• A) \(\{ ( A , E ) , ( B , C ) , ( B , E ) , ( C , E ) , ( D , E ) , ( E , A ) \}\) not a function
• B) \(\{ ( A , E ) , ( B , E ) , ( B , C ) , ( C , E ) , ( C , B ) , ( D , E ) , ( E , A ) \}\) not a function
• C) \(\{ ( A , E ) , ( B , C ) , ( C , E ) , ( D , E ) , ( E , A ) \}\) a function
• D) \(\{ ( A , E ) , ( B , E ) , ( B , C ) , ( C , E ) , ( C , B ) , ( D , E ) , ( E , A ) , ( E , D ) , ( E , C ) , ( E , B ) \}\) not a function
• E) \(\{ ( A , E ) , ( B , C ) , ( C , E ) , ( D , E ) , ( E , A ) , ( C , D ) \}\) not a function

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Definitions:

Substitutes

Products or services that can replace each other, where an increase in the price of one leads to an increase in demand for the other.

Elastic Demand

Elastic Demand occurs when the quantity demanded of a product changes significantly as its price changes.

Luxury Items

Goods and services that are considered non-essential but desirable, often characterized by their high quality, exclusivity, and high price.

Necessities

Basic needs or essential goods and services required for individuals to maintain a minimum standard of living, such as food, shelter, and healthcare.