Final answer:
Vertex-edge graphs are primarily used for solving relational problems and to express equations visually. They can also be useful in illustrating economic models, representing complex data in an accessible visual format such as line graphs, bar graphs, and pie charts.
Step-by-step explanation:
A vertex-edge graph can be very useful for solving problems about relationships, such as the shortest path between locations or the least amount of resources needed for a task. Graphs are powerful tools that express equations visually and display statistics or data comprehensively. In the context of algebra, for instance, a graph can be an intuitive way to represent and solve equations.
Economic models, which often rely on algebra, can be resolved graphically as well as algebraically. Graphs such as line graphs, pie charts, and bar graphs illustrate data visually, encapsulating complex numerical data into simple visual representations. They highlight patterns, comparisons, trends, and the distribution of resources, providing an easy-to-understand visual sense of relationships within datasets.