In an Analysis of Traffic, a Certain City Estimates the Traffic

question 162

Multiple Choice

In an analysis of traffic, a certain city estimates the traffic flow as illustrated in the figure below, where the arrows indicate the flow of traffic. If x1 represents the number of cars traveling from intersection A to intersection B, x2 represents the number of cars traveling from intersection B to intersection C , and so on, we car formulate equations based on the principle that the number of vehicles entering the intersection equals the numt leaving it. Formulate an equation for the traffic at each of the four intersections.

• A) \(\begin{array} { l } x _ { 1 } - x _ { 4 } = - 650 \\ x _ { 1 } - x _ { 2 } = - 450 \\ x _ { 2 } - x _ { 3 } = 1400 \\ x _ { 3 } - x _ { 4 } = - 1100 \end{array}\)
• B) \(\begin{array} { l } x _ { 1 } - x _ { 4 } = - 450 \\ x _ { 1 } - x _ { 2 } = - 650 \\ x _ { 2 } - x _ { 3 } = - 1400 \\ x _ { 3 } - x _ { 4 } = 1100 \end{array}\)
• C) \(\begin{array} { l } x _ { 1 } - x _ { 4 } = 450 \\ x _ { 1 } - x _ { 2 } = 650 \\ x _ { 2 } - x _ { 3 } = 1400 \\ x _ { 3 } - x _ { 4 } = - 1100 \end{array}\)
• D) \(\begin{array} { l } x _ { 1 } - x _ { 4 } = 450 \\ x _ { 1 } - x _ { 2 } = 650 \\ x _ { 2 } - x _ { 3 } = 1400 \\ x _ { 3 } - x _ { 4 } = 1100 \end{array}\)

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Definitions:

Direct Observations

The method of collecting data by watching subjects in their natural environment without interference or manipulation.

Reliable

The quality or state of being consistent and dependable in results or performance over time.

S Data

Self-report data, a type of psychological data obtained by asking subjects to reflect on and report their own thoughts, feelings, and behaviors.

Definitional Truth

A statement or assertion that is true by virtue of its definition, meaning, or the words used in its expression, without requiring external evidence for verification.