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 the number of students attending the field trip. Options: 15, 4.5, 45, 22, 14 3/4

Answer 1

In the context of the function \( C(x) = 30x \), where \( x \) represents the number of students attending the field trip, the value of \( x \) must be a non-negative integer. This is because the number of students cannot be negative or a fraction; you can't have a fraction of a student or a negative number of students.

Let's evaluate the provided options:

• 15: This is a valid input (a whole number).
• 4.5: This is not a valid input (it's not a whole number).
• 45: This is a valid input (a whole number).
• 22: This is a valid input (a whole number).
• 14 3/4: This is not a valid input (it's not a whole number).

Thus, the valid inputs (or domain) for the function \( C(x) \) are 15, 45, and 22.