Identify the adverbial phrases and their functions in the following sentence.

The kids ran into the house, up the stairs, and hid under the bed.

A. The prepositional phrases "into the house" and "up the stairs" modify the verb ran; therefore, they are both adverbial phrases.
B. "The kids" and "the bed" are both adverbial phrases that describe who is running and the place to which they are running.
C. The prepositional phrase "under the bed" modifies the verb hid; therefore, it functions as an adverbial phrase.
D. The prepositional phrases "into the house" and "up the stairs" modify the verb ran, and the prepositional phrase "under the bed" modifies the verb hid.