Choose the correct structure to complete the sentence. The manager asked me…

A direct yes/no question is reported by turning it into an embedded clause introduced by the connector "if" or "whether": the interrogative (auxiliary-before-subject) word order is replaced by ordinary subject-then-verb order, and if the reporting verb is in the past tense, the modal or auxiliary inside the reported clause backshifts one step into the past — will becomes would, can becomes could, and so on.

Applying the connector, the subject-verb order, and the tense backshift to this sentence:

1. The sentence being reported is the yes/no question "Will you accept the conditions of appointment?"

2. Because it is a yes/no question, not a wh-question, the reported clause must be introduced by the connector "if" (or "whether").

3. The interrogative order "will you" is replaced by ordinary subject-then-verb order: "I would", not "would I".

4. Since the reporting verb "asked" is in the past tense, the modal "will" backshifts one step into the past to "would".

5. Combining the connector, the subject-verb order, and the backshifted modal gives: "...if I would accept the conditions of appointment."

Checking each remaining structure against these same three requirements (connector, subject-verb order, backshift):

• "would I accept" keeps the auxiliary-before-subject order of a direct question and has no connector, so it still reads as a question rather than a reported clause.

• "if I will accept" supplies the connector but leaves "will" un-shifted, ignoring the backshift that the past-tense "asked" requires.

• "will I accept" has neither the connector nor subject-before-verb order, and it also leaves "will" un-shifted.

Only the structure that supplies the connector, uses subject-then-verb order, and backshifts the modal together meets all three requirements for reporting this question.