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.

20
92
60
54
35
5

1 answer

To find the possible outputs of the function C(x) = 10x, we need to consider which of the given options can be expressed as 10 multiplied by a positive integer (since the number of students must be a whole number).

Calculating for each option:

  • For 20: \( C(x) = 10 \times 2 \) (possible, as x = 2)
  • For 92: Not an integer solution (since \( 92/10 = 9.2 \))
  • For 60: \( C(x) = 10 \times 6 \) (possible, as x = 6)
  • For 54: Not an integer solution (since \( 54/10 = 5.4 \))
  • For 35: Not an integer solution (since \( 35/10 = 3.5 \))
  • For 5: \( C(x) = 10 \times 0.5 \) (not possible, as x must be a whole number)

The two valid outputs from the options are:

  • 20
  • 60

So the selected outputs are 20 and 60.