1. **State the problem:** We are given a graph with vertices A, B, C, D, E, X and edges representing flight routes with weights as airfare costs. We need to find the total number of edges in this graph. 2. **Recall the definition:** An edge in a graph is a connection between two vertices. Since the graph is directed (because edges like A-B and B-A have different weights), each direction counts as a separate edge. 3. **List the edges given:** - A-B (weight 5) - A-D (weight 3) - A-C (weight 8) - B-C (weight 6) - C-X (weight 2) - B-A (weight 8) - C-E (weight 8) - X-E (weight 7) - D-E (weight 4) 4. **Count the edges:** There are 9 edges listed. 5. **Conclusion:** The graph has **9 edges** in total.