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Solve the Problem x+w=700+400x+w=700+400 Or x+w=1100x+w=1100 by Writing an Equation Representing the Traffic Entering and Encountered

Question 95

Multiple Choice

Solve the problem.
-During rush hours, substantial traffic congestion is encountered at the intersections shown in the figure. The arrows indicate one-way streets. As the figure shows, 400 cars per hour come down P Street to intersection A, and 700 cars per hour come down 5 th Street to intersection A. x of these cars leave A on P Street and w cars leave A on 5th Street.
 Solve the problem. -During rush hours, substantial traffic congestion is encountered at the intersections shown in the figure. The arrows indicate one-way streets. As the figure shows, 400 cars per hour come down P Street to intersection A, and 700 cars per hour come down 5 th Street to intersection A. x of these cars leave A on P Street and w cars leave A on 5th Street.   The number of cars entering intersection A must equal the number leaving, so that  x+w=700+400  or  x+w=1100 . By writing an equation representing the traffic entering and leaving each of the intersections A, B, C, and D, obtain a system of four equations. Solve the system using  \mathrm{W}  as the parameter and use your answer to determine the largest and smallest possible values for the number of cars leaving intersection  \mathrm{D}  on  \mathrm{R}  Street. A)   1200 ; 100  B)   1100 ; 0  C)   1200 ; 0  D)   1100 ; 100 The number of cars entering intersection A must equal the number leaving, so that x+w=700+400x+w=700+400 or x+w=1100x+w=1100 . By writing an equation representing the traffic entering and leaving each of the intersections A, B, C, and D, obtain a system of four equations. Solve the system using W\mathrm{W} as the parameter and use your answer to determine the largest and smallest possible values for the number of cars leaving intersection D\mathrm{D} on R\mathrm{R} Street.


A) 1200;1001200 ; 100
B) 1100;01100 ; 0
C) 1200;01200 ; 0
D) 1100;1001100 ; 100

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