In the sentence "the new bakery opens <u>in</u> a week" you only have the preposition IN. A prepositional phrase consists of preposition plus a noun, pronoun or gerund working as the object.
So, the prepositional phrase is "in a week", the object of the preposition is "week" (a noun) which is pre-modified by the indefinite article "a".
Intellectual dreamer is the best characteristics that symbolizes Carol. The other choices do not symbolize Carol in the excerpt because he is a smart person that has many dreams.
