The function for the cost of the field trip is given by \( C(x) = 10x \), where \( x \) is the number of students. To determine the possible outputs (range) of this function, we can calculate \( C(x) \) for various values of \( x \).
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For \( x = 2 \): \[ C(2) = 10 \times 2 = 20 \]
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For \( x = 6 \): \[ C(6) = 10 \times 6 = 60 \]
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For \( x = 9.2 \): \[ C(9.2) = 10 \times 9.2 = 92 \]
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For \( x = 5 \): \[ C(5) = 10 \times 5 = 50 \]
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For \( x = 5.4 \): \[ C(5.4) = 10 \times 5.4 = 54 \]
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For \( x = 3.5 \): \[ C(3.5) = 10 \times 3.5 = 35 \]
From the calculations above, the outputs for valid integer values of \( x \) are:
- \( 20 \) for \( x = 2 \)
- \( 60 \) for \( x = 6 \)
- \( 92 \) for \( x = 9.2 \)
- \( 54 \) for \( x = 5.4 \) (this is not an integer for students, but the cost can be presented as such)
- \( 35 \) for \( x = 3.5 \) (this should be a whole student number)
However, only integers are usually practical for a number of students. Therefore, from the options provided, the only two outputs that are produced from the context of integer students going to the field trip are:
- 20
- 60
So, the 2 possible outputs (range) for the function \( C(x) \) you should select are 20 and 60.
3 answers