Final answer:
The model for 10,000 in the context of base-10 blocks would be a large cube of large cubes, as each next power of ten is represented by an assembly of ten of the prior model.
Step-by-step explanation:
The question is asking to identify a pattern in the geometric progression of models and predict the shape of the model representing the number 10,000. Using base-10 blocks, each small cube represents 1, ten small cubes make a long, ten longs make a flat, and ten flats make a large cube.
To address the shape that would represent 10,000, we observe that:
- 10 ones (small cubes) form a long (101).
- 10 tens (longs) form a flat (102 or 100).
- 10 hundreds (flats) form a large cube (103 or 1,000).
Following this pattern, ten large cubes would form the next power of ten, which would be a hypercube or a four-dimensional cube in theoretical terms, but in the context of this question, the shape model representing 10,000 (104) is a large cube of large cubes.
Therefore, the correct answer is c. Large Cube.