Photo AI
The map shows regions within a country - HSC - SSCE Mathematics Standard - Question 4 - 2024 - Paper 1
Question 4
The map shows regions within a country. A network diagram is to be drawn to represent this map. Vertices will be used to indicate each region and edges will be used... show full transcript
Worked Solution & Example Answer:The map shows regions within a country - HSC - SSCE Mathematics Standard - Question 4 - 2024 - Paper 1
Step 1
How many edges will there be in the network diagram?
Answer
To determine the number of edges in the network diagram, we first identify the regions represented on the map: Forest, Swamp, Mountains, Desert, Coast, and Woods.
-
Identify Regions: There are a total of 6 regions.
-
Determine Borders: Next, we examine which regions share borders:
- Forest borders Swamp and Woods.
- Swamp borders Forest, Mountains, and Desert.
- Mountains borders Swamp and Coast.
- Desert borders Swamp.
- Coast borders Mountains.
- Woods borders Forest.
-
Count Edges: We count the shared borders:
- Forest-Swamp
- Forest-Woods
- Swamp-Mountains
- Swamp-Desert
- Mountains-Coast
- Woods-Forest
This gives us a total of 7 edges. Therefore, the number of edges in the network diagram is 7.