The letters *a*, *b*, *c*, *d*, *e*, *f, and g* represent the number of cars moving between the intersections. To keep the traffic moving smoothly, the number of cars entering the intersection per hour must equal the number of cars leaving per hour.

1. Describe the situation.

2. Create a system of linear equations using *a*, *b*, *c*, *d*, *e*, *f, *and *g *that models continually flowing traffic.

3. Solve the system of equations. Variables f and g should turn out to be independent.

Answer the following questions

a. List acceptable traffic flows for two different values of the independent variables.

b. The traffic flow on Maple Street between *I _{5} and I_{6 }*must be greater than what value to keep traffic moving?

c. If *g* = 100, what is the maximum value for *f*?

d. If *g = 100,* the flows represented by *b, c*, and *d* must be greater than what values? In this situation, what are the minimum values for *a *and *e*?

e. This model has five one-way streets. What would happen if the model had five two-way streets?

For this assignment, use Figure 1 to answer the questions following the figure and to prepare a Microsoft^{®} PowerPoint^{®} presentation.

Subject | Mathematics |

Due By (Pacific Time) | 06/04/2014 12:00 am |

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