Final answer:
The scale factor from A to B, when triangle A is a scaled copy of triangle B and triangle M is a scaled copy of triangle S with a scale factor of 3/2, is 3/2.
Step-by-step explanation:
The scale factor from A to B can be determined by multiplying the scale factor from S to M by the scale factor from A to S. In this case, the scale factor from A to S is the same as the scale factor from B to M, which is 1. Therefore, the scale factor from A to B is (3/2) * 1, which simplifies to 3/2.