Question

The cost for an upcoming field trip is $10 per student. The cost of the field trip, in dollars, is a function of the number of students.

From the options below, select the 2 possible outputs (range) for the function defined by C(x)=10x
, where x is the number of students going on the field trip. Select only 2 options.

(2 points)
Responses

54
54

5
5

35
35

60
60

92
92

20

Answer 1

To find the possible outputs for the function defined by \( C(x) = 10x \), where \( x \) is the number of students, we need to multiply the number of students by 10 to determine the cost of the field trip.

Let's evaluate each of the provided options to see if they can be expressed as \( 10x \):
- For \( 54 \): \( 54 = 10x \) → \( x = 5.4 \) (not a whole number)
- For \( 5 \): \( 5 = 10x \) → \( x = 0.5 \) (not a whole number)
- For \( 35 \): \( 35 = 10x \) → \( x = 3.5 \) (not a whole number)
- For \( 60 \): \( 60 = 10x \) → \( x = 6 \) (whole number!)
- For \( 92 \): \( 92 = 10x \) → \( x = 9.2 \) (not a whole number)
- For \( 20 \): \( 20 = 10x \) → \( x = 2 \) (whole number!)

Therefore, the two possible outputs for the function \( C(x) = 10x \) that are valid are:

- **60**
- **20**

These represent costs when there are 6 and 2 students, respectively.