LEARN MORE...

Home
Documents
February 2012
3
mat220_r1_traffic_modeling

mat220_r1_traffic_modeling

Content type

User Generated

Type

Homework

Uploaded By

xunxnna

Pages

Showing Page:

1/5

Traffic Modeling

MAT/220 Version 1

University of Phoenix Material

Traffic Modeling

Figure 1 shows the intersections of five one-way streets and the number of cars that enter each

intersection from both directions. For example, I

shows that 400 cars per hour enter from the top and that

450 cars per hour enter from the left. See the Applications section in Section 6.2 of College Algebra as a

reference.

For this assignment, use Figure 1 to answer the questions following the figure and to prepare a Microsoft

PowerPoint

presentation.

Figure 1. The intersections of five one-way streets

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.

4. Answer the following questions:

Showing Page:

2/5

Traffic Modeling

MAT/220 Version 1

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

b. The traffic flow on Maple Street between I

and I

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?

Showing Page:

3/5

End of Preview - Want to read all 5 pages?

Access Now

Unformatted Attachment Preview

University of Phoenix Material Traffic Modeling Figure 1 shows the intersections of five one-way streets and the number of cars that enter each intersection from both directions. For example, I1 shows that 400 cars per hour enter from the top and that 450 cars per hour enter from the left. See the Applications section in Section 6.2 of College Algebra as a reference. For this assignment, use Figure 1 to answer the questions following the figure and to prepare a Microsoft? PowerPoint? presentation. Figure 1. The intersections of five one-way streets 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. 4. 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 I5 and I6 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 ...
Purchase document to see full attachment