Question

The cost for an upcoming field trip is $30 per student. The cost of the field trip, is dollars, is a function of the number of students x.

Select ALL the possible inputs (domain) for the function defined by C(x)=30x
where x is number of students attending the field trip.

(1 point)
Responses

4.5
4.5

45
45

14 34
14 34

22
22

15

Answer 1

The function \( C(x) = 30x \) calculates the cost of the field trip based on the number of students \( x \). Since \( x \) represents the number of students, it must be a non-negative integer (you cannot have a fraction of a student or a negative number of students).

Let's evaluate the given options:

1. **4.5** - This is not a valid input because you cannot have a fraction of a student.
2. **45** - This is a valid input (45 students).
3. **14 34** - This appears to be two separate numbers, and neither is a valid input since it should only represent a number of students.
4. **22** - This is a valid input (22 students).
5. **15** - This is a valid input (15 students).

Thus, the valid inputs (domain) for the function \( C(x) = 30x \) are:
- 45
- 22
- 15