"How to prepare for a job interview" or "Why interviews are important" I believe
The correct answer is a. tyler decided to give away toys, hoping it would give him more space.
"hoping it would give him more space." is an adverb clause for his reasoning behind it and is a clause that fulfills the purpose that you described. D doesn't' have a clause because it is a phrase, c is a phrase also, while b is a clause that is an adjectival clause.
I think the purpose of an author is a new story inspiration.