Which statement best illustrates the use of hyperbole in everyday language?

The statement "It’s raining cats and dogs outside" best illustrates the use of hyperbole in everyday language because it employs an exaggerated expression to convey how heavily it is raining. Hyperbole is a rhetorical device that involves deliberate exaggeration for emphasis or effect. In this case, the phrase suggests an extreme amount of rain, using vivid imagery to create a strong impression rather than a literal description.

The other choices, while they may contain elements of figurative language or strong imagery, do not exemplify hyperbole in the same way. The comparison of graceful walking to a swan draws on simile, the idea of a smile lighting up a room uses metaphorical language, and studying all night expresses a dedication that may be true without necessitating exaggeration. Therefore, the chosen statement effectively exemplifies hyperbole through its flamboyant depiction of rainfall.