The objective of this activity is to use matricies to represent data based on tranportation networks.

Large cities often have highly-developed public tranportation systems that help residents travel to and from other cities. Buses, trains, and subways are some of these modes of transportation.

A network diagram is a useful way to represent the different routes between cities. In this activity, you will explore routes between four large cities.

City scene

Bus Routes

The network diagram below shows the bus routes that run between four large cities. The arrows indicate the direction the buses travel.

Bus Route Network

Upon inspection, the bus company realized there was an error in printing the map. An updated network diagram is shown below. Arrows on both ends of an edge indicate that buses travel in both directions.

Corrected Bus Route Network

Improved Bus Routes

As the bus company grows, they begin offering more routes connecting these four cities as shown in the network diagram. Multiple arrows from the between the same two cities represent different routes.

Improved Bus Route Network

Train Lines

A train line also connects these four cities. The network diagram below is updated to show both the bus and train routes. Solid lines represent bus routes and dashed arcs represent train routes.

Bus and Train Route Network