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

92
92

20
20

54
54

35
35

60
60

5
5
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Answer 1

The function given is \( C(x) = 10x \), where \( x \) represents the number of students. This means that the total cost \( C \) of the trip is determined by multiplying the number of students by 10.

To find the outputs (possible costs) based on the available options, we can check which values can be obtained from \( C(x) \) by assuming different integer values for \( x \).

1. **92**: To find if this is a possible output, we can set \( C(x) = 92 \):
\[
92 = 10x \implies x = \frac{92}{10} = 9.2
\]
Since \( x \) must be a whole number (students can't be fractional), this is not a valid output.

2. **20**:
\[
20 = 10x \implies x = \frac{20}{10} = 2
\]
This is valid, as there can be 2 students.

3. **54**:
\[
54 = 10x \implies x = \frac{54}{10} = 5.4
\]
Not valid, since \( x \) is not a whole number.

4. **35**:
\[
35 = 10x \implies x = \frac{35}{10} = 3.5
\]
Not valid, since \( x \) is not a whole number.

5. **60**:
\[
60 = 10x \implies x = \frac{60}{10} = 6
\]
This is valid, as there can be 6 students.

6. **5**:
\[
5 = 10x \implies x = \frac{5}{10} = 0.5
\]
Not valid, since \( x \) is not a whole number.

Based on the evaluations above, the two valid outputs (range) for the function \( C(x) = 10x \) are:

- 20
- 60

These are the final selections.