How is the infinitive phrase used in the sentence?

Morning is the best time to study difficult equations.

A.
noun as subject

B.
adjective

C.
adverb

D.
noun as predicate nominative

To determine how the infinitive phrase is used in the sentence, let's first identify the infinitive phrase itself. The infinitive phrase in this sentence is "to study difficult equations." It functions as a noun phrase, as it serves as the object of the preposition "to" and answers the question "what?" or "what to do?".

Now, let's consider the options provided:

A. Noun as subject - The noun as subject would be the main doer of the action, but in this sentence, "morning" is the subject, not the infinitive phrase.

B. Adjective - Adjectives modify nouns or pronouns, but the infinitive phrase in this sentence is not modifying any noun or pronoun.

C. Adverb - Adverbs typically modify verbs, adjectives, or other adverbs, and they answer questions like "how?", "when?", "where?", "why?", etc. In this sentence, the infinitive phrase "to study difficult equations" modifies the verb "is," providing information about when "morning" is the best time.

D. Noun as predicate nominative - A predicate nominative is a noun or pronoun that follows a linking verb and renames or identifies the subject. In this sentence, "morning" is the subject and "is" is the linking verb, but the infinitive phrase does not rename or identify the subject.

Based on this analysis, the correct answer is C. The infinitive phrase "to study difficult equations" is functioning as an adverb, modifying the verb "is" and providing information about when "morning" is the best time.