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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

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.