the cost for an upcomign field tirp is $30 dollar per student the cost of the field trip in dollar is a function of the number of students select all the possible inputs (domain) for the functi ondefined C(x)=30x where x is the number of studnets going on the field trip

The cost function \( C(x) = 30x \) represents the total cost of the field trip, where \( x \) is the number of students going on the trip. When considering the domain of this function, we need to consider what values \( x \) can realistically take.

1. Non-negative integers: Since the number of students cannot be negative or a fraction, \( x \) must be a non-negative integer. This means \( x \) can be \( 0, 1, 2, 3,\) and so on.

2. Realistic upper limit: There may also be a practical upper limit depending on the context (e.g., the capacity of the transportation or costs), but that limit would vary by situation and is not specified in the function itself.

So, the domain of the function \( C(x) \) can be expressed as:

• \( x \) is a non-negative integer: \( x \in {0, 1, 2, 3, \ldots} \)

If you need to specify a maximum number of students (let's say the school has a maximum capacity of 100 students), the domain could then be further limited to:

• \( x \in {0, 1, 2, \ldots, 100} \)

Without additional information on constraints, the general domain is:

• \( x \geq 0 \) and \( x \) is an integer.