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Solve Problems Involving Systems Without Unique Solutions
-The Figure Below t+8t + 8

Question 54

Multiple Choice

Solve Problems Involving Systems Without Unique Solutions
-The figure below shows the intersection of three one-way streets. To keep traffic moving, the number of cars per minute entering an intersection must equal the number of cars leaving that intersection. Set up a system of equations that keeps traffic moving, and use Gaussian elimination to solve the system. If construction limits z to t cars per minute, how many cars per minute must pass through the other intersections to keep traffic moving?  Solve Problems Involving Systems Without Unique Solutions -The figure below shows the intersection of three one-way streets. To keep traffic moving, the number of cars per minute entering an intersection must equal the number of cars leaving that intersection. Set up a system of equations that keeps traffic moving, and use Gaussian elimination to solve the system. If construction limits z to t cars per minute, how many cars per minute must pass through the other intersections to keep traffic moving?   A)   t + 8  cars/min between  I _ { 2 }  and  I _ { 1 } ; t + 3  cars/min between  I _ { 1 }  and  I _ { 3 }  B)   t + 1  cars/min between  I _ { 2 }  and  I _ { 1 } ; t + 4  cars/min between  I _ { 1 }  and  I _ { 3 }  C)   t - 2  cars/min between  I _ { 2 }  and  I _ { 1 } ; t + 1  cars/min between  I _ { 1 }  and  I _ { 3 }  D)   t + 2  cars  / \mathrm { min }  between  \mathrm { I } _ { 2 }  and  \mathrm { I } _ { 1 } ; \mathrm { t } - 3  cars/min between  \mathrm { I } _ { 1 }  and  \mathrm { I } _ { 3 }


A) t+8t + 8 cars/min between I2I _ { 2 } and I1;t+3I _ { 1 } ; t + 3 cars/min between I1I _ { 1 } and I3I _ { 3 }
B) t+1t + 1 cars/min between I2I _ { 2 } and I1;t+4I _ { 1 } ; t + 4 cars/min between I1I _ { 1 } and I3I _ { 3 }
C) t2t - 2 cars/min between I2I _ { 2 } and I1;t+1I _ { 1 } ; t + 1 cars/min between I1I _ { 1 } and I3I _ { 3 }
D) t+2t + 2 cars /min/ \mathrm { min } between I2\mathrm { I } _ { 2 } and I1;t3\mathrm { I } _ { 1 } ; \mathrm { t } - 3 cars/min between I1\mathrm { I } _ { 1 } and I3\mathrm { I } _ { 3 }

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