Welcome to your interview.
The question is on your right: Negotiating Scope With No Budget Increase. Take a moment with it first.
Talk your thinking through with me if you like - when you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes). Discussion and graded submissions share your five interviewer interactions, so spend them well.
If a key project sponsor insists on adding scope without increasing the budget, what specific negotiation strategies and data points would you use to manage their expectations?