Final answer:
Engineers use the Engineering Design Process when designing technological solutions, which is an iterative decision-making process incorporating science and mathematics to optimally meet specified needs.
Step-by-step explanation:
Engineering Design Process in Technological Solutions
When engineers are tasked with designing solutions to technological problems, they utilize the Engineering Design Process. This process is critical for transforming a design brief into a tangible product or system that meets clients' or customers' needs. The Engineering Design Process is iterative, integrating science, mathematics, and engineering principles to find the most effective solutions to real-world problems. Throughout its phases, mathematics and science play a significant role, as each proposed solution must be rigorously analyzed, with detailed documentation and justification based on scientific and mathematical reasoning.
For example, during the idea generation phase, engineers often lean toward a structured approach, which includes brainstorming and various other techniques to define and refine the problem. Engineers are also required to evaluate alternative solutions, emphasizing the need for a logical, systematic approach to problem-solving. The effectiveness of a design is measured against the requirements and constraints of the project, where math and science are indispensable tools.
The answer to the question 'When designing solutions to technological problems, engineers use the' is c) Engineering Design Process. This process embraces a decision-making framework where the basic sciences and mathematics are applied to convert resources optimally and meet the stated needs. This is different from the strictly exploratory nature of the scientific method, which focuses on gaining understanding rather than creating solutions.