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:
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If \( x = 5 \): \[ c(5) = 10 \times 5 = 50 \]
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If \( x = 6 \): \[ c(6) = 10 \times 6 = 60 \]
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If \( x = 7 \): \[ c(7) = 10 \times 7 = 70 \]
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If \( x = 8 \): \[ c(8) = 10 \times 8 = 80 \]
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If \( x = 9 \): \[ c(9) = 10 \times 9 = 90 \]
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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.