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

5
5

54
54

60
60

20
20

35
35

92

1 answer

The function defined by \( C(x) = 10x \) means that the cost \( C \) is directly proportional to the number of students \( x \) going on the field trip, with each student costing $10.

To find possible outputs, we can substitute various integer values of \( x \) (the number of students) into the function:

  • For \( x = 5 \):
    \( C(5) = 10 \times 5 = 50 \)

  • For \( x = 6 \):
    \( C(6) = 10 \times 6 = 60 \)

  • For \( x = 2 \):
    \( C(2) = 10 \times 2 = 20 \)

  • For \( x = 3.5 \):
    \( C(3.5) = 10 \times 3.5 = 35 \)

  • For \( x = 9.2 \):
    \( C(9.2) = 10 \times 9.2 = 92 \)

From the provided options, the outputs that we found are:

  • 60 (from \( x = 6 \))
  • 20 (from \( x = 2 \))
  • 35 (from \( x = 3.5 \))
  • 92 (from \( x = 9.2 \))

So, the two possible outputs from your selections are:

  • 60
  • 20

If you can only select two, choose 60 and 20.