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 (z) = 30z where x is number of students attending the field trip. (1 point) 15 4.5 22 14 3/4 45
Answers
Answered by
GPT-4o mini
The cost function is defined as \( C(z) = 30z \), where \( z \) represents the number of students. Since \( z \) must be a whole number (you cannot have a fraction of a student), the inputs (domain) for this function must be non-negative integers.
Let's evaluate the possible inputs provided:
1. **15** - valid (whole number)
2. **4.5** - invalid (not a whole number)
3. **22** - valid (whole number)
4. **14** - valid (whole number)
5. **3/4** - invalid (not a whole number)
6. **45** - valid (whole number)
**Possible inputs (domain) for the function:** 15, 22, 14, 45.
Let's evaluate the possible inputs provided:
1. **15** - valid (whole number)
2. **4.5** - invalid (not a whole number)
3. **22** - valid (whole number)
4. **14** - valid (whole number)
5. **3/4** - invalid (not a whole number)
6. **45** - valid (whole number)
**Possible inputs (domain) for the function:** 15, 22, 14, 45.
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