Final answer:
The correct and grammatically sound sentence is option b, which uses the correct comparative adverb 'more quickly' and the subject pronoun 'I' after the word 'than'.
Step-by-step explanation:
The correct sentence among the options given is: b. Our opponents at the math meet solved the equation more quickly than Betsy and I. This sentence is correct because it uses more quickly instead of quicker which is the proper comparative form of the adverb quickly. Additionally, I is used as the subject pronoun after than, making the sentence grammatically correct. The use of opponents is correct, as it is the proper term for competitors, and meet is the right word for the contest or gathering, as opposed to meat which implies a food item.
In comparison to a sentence that mentions handing something to someone where 'me' would be correct, in this case, 'I' is used because it follows a form of the verb 'to be' which implies that 'I' is part of the subject of the comparison. An example for using me properly would be, Reflection has helped other class members and me improve our writing.
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