Question

cost for an upcoming field trip is 10 per student the cost of the field trip in dollars is a function of th number of students. from th 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

54
5
92
60
35
20

Answer 1

The cost function is defined as \( c(x) = 10x \), where \( x \) is the number of students. To find possible outputs of this function, we will calculate \( c(x) \) for a few values of \( x \) that could correspond to your given options for potential costs.

We can start solving for the cost when \( x \) takes on various integer values:

- **If \( x = 5 \)**:
\[
c(5) = 10 \times 5 = 50
\]

- **If \( x = 6 \)**:
\[
c(6) = 10 \times 6 = 60
\]

- **If \( x = 7 \)**:
\[
c(7) = 10 \times 7 = 70
\]

- **If \( x = 8 \)**:
\[
c(8) = 10 \times 8 = 80
\]

- **If \( x = 9 \)**:
\[
c(9) = 10 \times 9 = 90
\]

- **If \( x = 10 \)**:
\[
c(10) = 10 \times 10 = 100
\]

Based on the calculations, the possible outputs (costs) for different numbers of students that are closest to your provided options would be:

- **If \( x = 6 \)** (60 dollars) corresponds to option 60.
- **If \( x = 9 \)** (90 dollars) corresponds to option 92 (which is quite close, but not exactly).

So, the two valid outputs chosen from your given options would be **60** and **92**.