Final answer:
The sentence exemplifies personification by attributing human actions to the mist and fog.
Step-by-step explanation:
The sentence 'Mist swallowed the houses as fog crept in.' is an example of personification, which is option c). Personification is a literary device where human qualities are given to animals, objects, or ideas. In this case, the mist is described as swallowing the houses and the fog is said to creep in, attributing human actions to nonhuman elements. This literary device is used to create vivid imagery and help readers visualize the scene more effectively. It is neither a simile nor a metaphor because it does not compare the mist and fog directly to something else using 'like' or 'as' for a simile, or imply an identity between different things for a metaphor. It is also not a hyperbole, which would be an exaggerated statement not meant to be taken literally.