Final answer:
A model is an abstract representation of a system used to understand and predict its behavior. Prototypes are more concrete models, used for testing and refining designs. Models can be mathematical equations, physical representations, or computer simulations.
Step-by-step explanation:
A model is a representation of the system being studied, which we claim behaves much like the original. When we talk about models in the context of science and engineering, we are referring to abstract representations that help us understand, test, analyze, and make predictions about the systems they represent.
Prototypes, on the other hand, are trial working models used to test design decisions and identify potential problems before large-scale production or deeper investment into a project. While a prototype can be considered a type of model, it is usually a more concrete or semi-functional version of the design, used to evaluate and refine the system.
Models come in various forms, including mathematical equations, physical representations, and computer simulations. Each form serves to provide insight into aspects of the design or system and can be used extensively during the prototype, test, and refine stages of product development.