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

20
20

60
60

92
92

5
5

54
54

35

Answer 1

The function for the cost of the field trip is given by \( C(x) = 10x \), where \( x \) is the number of students. To determine the possible outputs (range) of this function, we can calculate \( C(x) \) for various values of \( x \).

1. For \( x = 2 \):
\[
C(2) = 10 \times 2 = 20
\]

2. For \( x = 6 \):
\[
C(6) = 10 \times 6 = 60
\]

3. For \( x = 9.2 \):
\[
C(9.2) = 10 \times 9.2 = 92
\]

4. For \( x = 5 \):
\[
C(5) = 10 \times 5 = 50
\]

5. For \( x = 5.4 \):
\[
C(5.4) = 10 \times 5.4 = 54
\]

6. For \( x = 3.5 \):
\[
C(3.5) = 10 \times 3.5 = 35
\]

From the calculations above, the outputs for valid integer values of \( x \) are:

- \( 20 \) for \( x = 2 \)
- \( 60 \) for \( x = 6 \)
- \( 92 \) for \( x = 9.2 \)
- \( 54 \) for \( x = 5.4 \) (this is not an integer for students, but the cost can be presented as such)
- \( 35 \) for \( x = 3.5 \) (this should be a whole student number)

However, only integers are usually practical for a number of students. Therefore, from the options provided, the only two outputs that are produced from the context of integer students going to the field trip are:

- 20
- 60

So, the 2 possible outputs (range) for the function \( C(x) \) you should select are **20** and **60**.