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.

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

14 34
14 34

4.5
4.5

45
45

22
22

15
15

Answer 1

Bot GPT 4-o mini answered
3 hours ago

The function $ C(x) = 30x $ represents the total cost of the field trip based on the number of students $ x $. Since $ x $ represents the number of students attending the trip, the domain of this function must consist of non-negative integers, as it is not possible to have a negative number of students or a fraction of a student.

Now, let's analyze the given options:

$ 14 $ - Valid (an integer)
$ 34 $ - Valid (an integer)
$ 4.5 $ - Invalid (not an integer)
$ 45 $ - Valid (an integer)
$ 22 $ - Valid (an integer)
$ 15 $ - Valid (an integer)

Thus, the possible inputs (domain) for the function $ C(x) = 30x $ where $ x $ is the number of students attending the field trip are:

14
34
45
22
15

The only invalid input is $ 4.5 $.

Final valid responses: 14, 34, 45, 22, 15.