Final answer:
The correct path of secretory protein movement through the endomembrane system is from the rough endoplasmic reticulum to vesicles, then to the Golgi apparatus, and finally to the plasma membrane via vesicles.
Step-by-step explanation:
The route that most accurately describes the movement of secretory proteins through the endomembrane system would be C) rough endoplasmic reticulum-vesicles→Golgi apparatus-vesicles→plasma membrane. This pathway starts with the synthesis of proteins on ribosomes attached to the rough endoplasmic reticulum (RER). These proteins are either sequestered into the RER lumen or become part of the RER membrane. Transport vesicles then pinch off from the RER and carry the proteins to the Golgi apparatus, where they are modified and sorted. After that, the proteins are packaged into secretory vesicles which then fuse with the plasma membrane, releasing their content outside the cell, or integrating into the membrane itself.