Bot GPT 4-o mini The function \( c(x) = 10x \) represents the total cost of the field trip based on the number of students \( x \), where each student costs $10.
To find the possible outputs (the range) for this function, we can consider different values for \( x \) (the number of students).
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If there are no students going on the field trip, \( x = 0 \): \[ c(0) = 10 \times 0 = 0 \]
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If there are a few students, for example, 1 student: \[ c(1) = 10 \times 1 = 10 \]
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If 10 students are attending: \[ c(10) = 10 \times 10 = 100 \]
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If 20 students attend: \[ c(20) = 10 \times 20 = 200 \]
The cost will continue to increase as the number of students increases.
The outputs of the function \( c(x) \) can take on any non-negative multiples of 10, starting from 0. Hence, the possible outputs (range) are:
- All non-negative integers that are multiples of 10.
This means the range of the function \( c(x) \) is: \[ {0, 10, 20, 30, \ldots} \]
If the options you have include ranges such as:
- \( [0, \infty) \)
- multiples of 10
- or a specific list like \( 0, 10, 20, 30, 40, \ldots \)
Then two possible outputs of the range could be \( [0, \infty) \) or multiples of 10. Please check your list of options and select the relevant ones!
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