… you turn down down the volume of the radio? I am trying to read!

Analyze the question The sentence is a request: "___ you turn down the volume of the radio? I am trying to read!" We need a modal verb that makes a polite request to another person.

Explain the concept Modal verbs have different jobs:

• May is for permission or possibility, usually with "I" or "we" ("May I come in?"). It doesn't fit with "you" in a request.
• Will can make a request ("Will you help me?"), but it is more direct and blunt. It is often used for commands or predictions.
• Would is the polite form for requests ("Would you please close the door?").
• Should expresses duty, advice or obligation ("You should study"). It isn't a request.

Step-by-step solution

1. The speaker is asking someone to do something, so it is a request.
2. "May you..." does not work, because "may" would be asking permission for yourself.
3. "Should you turn down...?" sounds like asking whether it is advisable, not making a request.
4. Both "will" and "would" can introduce a request, but "would" is the more polite and standard choice. The speaker is annoyed ("I am trying to read!"), yet the question is still framed as a request.

Since "would you...?" is the conventional polite request form, the best answer is C.

Tip: For requests with "you", think "Would you please...?" or "Could you please...?" For permission with "I", think "May I...?"