#### Answer

A graph can be used to model diplomatic relations among the countries of the Americas. This statement makes sense.

#### Work Step by Step

In the graph, we can use one vertex to represent each country in the Americas. Then the number of vertices in the graph will be equal to the number of countries in the Americas.
If two countries have diplomatic relations, we can draw an edge to connect these two vertices. If two countries do not have diplomatic relations, we will not draw an edge to connect these two vertices.
The graph will show which countries have diplomatic relations with each other and which countries do not have diplomatic relations with each other.