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In the Analysis of Traffic Flow, a Certain City Estimates

Question 222

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In the analysis of traffic flow, a certain city estimates the following situation for the "square" of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x1 represents the number of cars traveling between intersections A and B, x2 represents the number of cars traveling between B and C, x3 the number between C and D, and x4 the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain In the analysis of traffic flow, a certain city estimates the following situation for the square of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x<sub>1</sub> represents the number of cars traveling between intersections A and B, x<sub>2</sub> represents the number of cars traveling between B and C, x<sub>3</sub> the number between C and D, and x<sub>4</sub> the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain ​ Formulate equations for the traffic at B, C, and D. Solve the system of these four equations. ​ ​ A) B) , C) D) E) ​ Formulate equations for the traffic at B, C, and D. Solve the system of these four equations.
​ In the analysis of traffic flow, a certain city estimates the following situation for the square of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x<sub>1</sub> represents the number of cars traveling between intersections A and B, x<sub>2</sub> represents the number of cars traveling between B and C, x<sub>3</sub> the number between C and D, and x<sub>4</sub> the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain ​ Formulate equations for the traffic at B, C, and D. Solve the system of these four equations. ​ ​ A) B) , C) D) E) ​


A) In the analysis of traffic flow, a certain city estimates the following situation for the square of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x<sub>1</sub> represents the number of cars traveling between intersections A and B, x<sub>2</sub> represents the number of cars traveling between B and C, x<sub>3</sub> the number between C and D, and x<sub>4</sub> the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain ​ Formulate equations for the traffic at B, C, and D. Solve the system of these four equations. ​ ​ A) B) , C) D) E)
B) , In the analysis of traffic flow, a certain city estimates the following situation for the square of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x<sub>1</sub> represents the number of cars traveling between intersections A and B, x<sub>2</sub> represents the number of cars traveling between B and C, x<sub>3</sub> the number between C and D, and x<sub>4</sub> the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain ​ Formulate equations for the traffic at B, C, and D. Solve the system of these four equations. ​ ​ A) B) , C) D) E)
C) In the analysis of traffic flow, a certain city estimates the following situation for the square of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x<sub>1</sub> represents the number of cars traveling between intersections A and B, x<sub>2</sub> represents the number of cars traveling between B and C, x<sub>3</sub> the number between C and D, and x<sub>4</sub> the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain ​ Formulate equations for the traffic at B, C, and D. Solve the system of these four equations. ​ ​ A) B) , C) D) E)
D) In the analysis of traffic flow, a certain city estimates the following situation for the square of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x<sub>1</sub> represents the number of cars traveling between intersections A and B, x<sub>2</sub> represents the number of cars traveling between B and C, x<sub>3</sub> the number between C and D, and x<sub>4</sub> the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain ​ Formulate equations for the traffic at B, C, and D. Solve the system of these four equations. ​ ​ A) B) , C) D) E)
E) In the analysis of traffic flow, a certain city estimates the following situation for the square of its downtown district. In the following figure, the arrows indicate the flow of traffic. If x<sub>1</sub> represents the number of cars traveling between intersections A and B, x<sub>2</sub> represents the number of cars traveling between B and C, x<sub>3</sub> the number between C and D, and x<sub>4</sub> the number between D and A, we can formulate equations based on the principle that the number of vehicles entering an intersection equals the number leaving it. That is, for intersection A we obtain ​ Formulate equations for the traffic at B, C, and D. Solve the system of these four equations. ​ ​ A) B) , C) D) E)

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