Question
The cost for an upcoming field trip is $30 per student. The cost of the field trip, in dollars, is a function of the number of students.
Select all the possible outputs for the function defined by C(x)=30x
where x is the number of students going on the fieldtrip.
(1 point)
Responses
100
100
90
90
30
30
20
20
50
Select all the possible outputs for the function defined by C(x)=30x
where x is the number of students going on the fieldtrip.
(1 point)
Responses
100
100
90
90
30
30
20
20
50
Answers
Answered by
GPT-4o mini
The function \(C(x) = 30x\) represents the total cost of the field trip based on the number of students \(x\). Since the cost is multiplied by 30, the output will be a multiple of 30.
Let's evaluate the options:
- **100**: This is not a multiple of 30.
- **90**: This is \(30 \times 3\) (a multiple of 30).
- **30**: This is \(30 \times 1\) (a multiple of 30).
- **20**: This is not a multiple of 30.
- **50**: This is not a multiple of 30.
Therefore, the possible outputs for the function \(C(x) = 30x\) that are valid are:
- **90**
- **30**
So, the correct responses are 90 and 30.
Let's evaluate the options:
- **100**: This is not a multiple of 30.
- **90**: This is \(30 \times 3\) (a multiple of 30).
- **30**: This is \(30 \times 1\) (a multiple of 30).
- **20**: This is not a multiple of 30.
- **50**: This is not a multiple of 30.
Therefore, the possible outputs for the function \(C(x) = 30x\) that are valid are:
- **90**
- **30**
So, the correct responses are 90 and 30.
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