Correct option is A
The correct choice is option (a).
(I) She took the advanced algebra class as a proponent of the ordinary curriculum.
This sentence uses the word "proponent" incorrectly. It seems like the correct word should be "supplement" to convey the idea of something added to the ordinary curriculum.
(II) Because she loves animals, she is a fierce proponent of the animal rights movement.
This sentence uses the word "proponent" correctly. It means that she strongly supports the animal rights movement.
(III) The vitamin was added as a proponent to her diet to improve her blood circulation.
This sentence also uses the word "proponent" incorrectly. The correct word should be "supplement" to indicate something added to her diet.
The word "proponent" is used correctly in sentence (II) and incorrectly in sentences (I) and (III). The correct answer is indeed option (a).