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

question 108

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?

• 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 \(\mathrm { I } _ { 3 }\)

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