Final answer:
Predictive methodology is used when projects closely follow past projects in features and costs, leveraging detailed planning and structured processes, including mathematical models for cost estimation.
Step-by-step explanation:
When projects closely follow past projects in features and costs, the methodology typically used is the Predictive methodology. This approach relies on careful upfront planning and the project's requirements being well-understood from the beginning. With this method, detailed estimates are made, including the budget for product development and drawings used to design a product, aligning closely with past experience.
The engineering design process serves as a structured framework that includes steps such as idea generation through brainstorming and design sessions, defining the design problem by gathering information from customers, and then prototyping, testing, and refinement. Mathematical models can be created to estimate costs, underlining a math connection in the design process.