Final answer:
The correct sentence with proper punctuation is B. The teacher wrote the name of Melissa, the new student, on the board.
Step-by-step explanation:
The correct sentence with proper punctuation is B. The teacher wrote the name of Melissa, the new student, on the board.
In this sentence, a pair of commas is used to set off the phrase 'the new student', which provides additional information about the name of Melissa. This clarifies that Melissa is referred to as the new student.
Option A is incorrect because it lacks any punctuation to separate the description 'the new student' from 'the name of Melissa'. Option C incorrectly places a comma after 'Melissa' without providing any punctuation to separate 'the new student' from the rest of the sentence. Option D places a comma after 'Melissa' but does not include commas to set off 'the new student'.