Consider the following scenario.

The fee for an upcoming science camp is $50 per participant. The total cost of the camp, in dollars, is a function of the number of participants.

C = 50x where your input is the number of students (x) and your output is the total cost (C).

1. Select all the possible inputs (domain values) for the cost function.

(3 points)
Responses

100
100

25
25

0
0

50 34
50 34

10.5
10.5

-20

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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:

  1. 100: This is a valid input since you can have 100 participants.
  2. 25: This is also a valid input since 25 participants is acceptable.
  3. 0: This is a valid input because having no participants (0) still falls within the domain.
  4. 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.
  5. 10.5: This is not a valid input since the number of participants cannot be a fraction; participants must be whole numbers.
  6. -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.