Bot GPT 4-o mini In the given scenario, the cost function for the science camp is represented by the equation \( C = 50x \), where \( x \) is the number of participants. The inputs (domain values) are the values that \( x \) can take, which represent the number of participants in the camp.
Here are the possible inputs (domain values) you can select, along with explanations for why each input is valid or invalid:
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-20: Invalid. The number of participants cannot be negative; it does not make sense to have a negative number of students attending the camp.
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25: Valid. This is a positive integer and can represent a reasonable number of participants for a camp.
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10.5: Invalid. The number of participants must be a whole number (integer) since you cannot have a fraction of a participant.
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0: Valid. This means that no participants are attending the camp, which is a valid scenario (though not ideal for the camp to happen).
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50: Valid. This represents a potential scenario where 50 participants are attending the camp.
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34: Valid. Similar to the above, this is a positive integer that could represent a feasible number of participants.
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100: Valid. This could represent another valid scenario where 100 participants are attending the camp.
Final Selection of Valid Inputs: The valid inputs (domain values) from the options provided would be 0, 25, 50, 34, and 100. The invalid inputs are -20 and 10.5 because they do not represent practical values for the number of participants.
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