Final answer:
The sentence 'My math professor is Dr. Jenkins, who drives a 1967 Mustang.' is punctuated correctly.
Step-by-step explanation:
The sentence that is punctuated correctly is: My math professor is Dr. Jenkins, who drives a 1967 Mustang.
In this sentence, the comma is used to correctly separate the appositive phrase 'Dr. Jenkins' from the rest of the sentence. The phrase 'who drives a 1967 Mustang' is also correctly introduced by the relative pronoun 'who'.
On the other hand, the other options incorrectly use a semicolon, a comma without the necessary comma after 'Dr. Jenkins', or no punctuation at all.
Learn more about Punctuation in English sentences