To determine the possible inputs (domain values) for the cost function \( C = 50x \), we need to consider the number of participants (x). The number of participants must be a non-negative integer because you cannot have a negative number of participants or a fraction of a participant.
Let's analyze the given options:
- 100: This is a valid input since you can have 100 participants.
- 25: This is also a valid input since 25 participants is acceptable.
- 0: This is a valid input because having no participants (0) still falls within the domain.
- 50 34: This is unclear but does not seem like a proper input format. It looks like it may represent two different numbers, but we cannot consider it a valid single input.
- 10.5: This is not a valid input since the number of participants cannot be a fraction; participants must be whole numbers.
- -20: This is not a valid input since the number of participants cannot be negative.
Based on this analysis, the valid inputs from the provided options are:
- 100
- 25
- 0
Thus, the possible inputs (domain values) for the cost function are 100, 25, and 0.