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

22
22

15
15

45
45

14 3/4
14 3/4

4.5

Answer 1

The cost function \( C(x) = 30x \) defines the total 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 (0, 1, 2, 3, ...), as you can't have a negative number of students or a fractional/student decimal.

Let's evaluate each option:

1. **22**: This is a valid input since it's a non-negative integer.
2. **15**: This is also a valid input since it's a non-negative integer.
3. **45**: This is a valid input since it's a non-negative integer.
4. **14 3/4**: This is not a valid input because it is not a whole number (it's a fraction).
5. **4.5**: This is not a valid input because it is not a whole number (it's a decimal).

Therefore, the possible inputs (domain) for the function \( C(x) \) are:

- **22**
- **15**
- **45**