Final answer:
The most suitable data-flow architecture for an embedded system is typically the pipe and filter model due to its ability to manage sequential data processing and performance predictability, which are essential in embedded systems.
Step-by-step explanation:
The question asks to select the type of data-flow architecture that is suitable for an embedded system from the given options: Data repository, Pipe and filter, None of the others, and Blackboard. For embedded systems, which often have strict performance and resource constraints, the pipe and filter architecture is typically a good fit. This architecture allows for a series of processing steps (filters) that are connected by pipes (channels for data flow), enabling the sequential processing of data streams. This design is beneficial for embedded systems because it can be easily divided onto multiple processors, supports reusability and maintainability of filters, and usually has a predictable performance which is crucial for real-time systems.