The favor of upcoming science camp is $50 per participant.The total cost of the camp in dollars.Is a function of the number of Participant. ' C =50x' Where are your input is number of students (x) and your output is the total cost (C)

To determine the possible inputs (domain values) for the cost function \( C = 50x \), where \( x \) represents the number of participants, we need to consider the nature of the variable \( x \).

1. Non-negative integers: The number of participants cannot be negative, so values must be at least 0. Additionally, the number of participants must be a whole number (you cannot have a fraction of a participant).

Now, let's evaluate the provided options:

A. 25 - Valid input (non-negative integer).

B. 0 - Valid input (non-negative integer, representing no participants).

C. -20 - Invalid input (negative value, as you cannot have a negative number of participants).

D. 10.5 - Invalid input (not a whole number; you cannot have half a participant).

E. 100 - Valid input (non-negative integer).

F. 50 3/4 - Invalid input (not a whole number; it is a fractional number).

Summary of Possible Inputs:

The valid domain values based on the explanation above are:

• A. 25
• B. 0
• E. 100

Explanation:

• I chose these values because they are non-negative integers, which are suitable for representing a count of participants in the camp. Negative numbers, decimals, and fractions do not accurately represent the count of distinct individuals participating in the camp.