The expression \( 8 - x \) can represent situations where you start with a total of 8 and then decrease that total by some amount \( x \). Here are the options that apply based on that understanding:
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Eight servings of lunch decreased by some number. (This corresponds to \( 8 - x \), where \( x \) is the number of servings decreased.)
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Jones County has eight fewer elective courses than Smith County. (This suggests an initial number of courses in Smith County, and it can be represented as \( x - 8 \), but based on the context of the question, this could still be interpreted in a similar way as \( 8 - x \) if adjusting to find the comparison.)
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Naomi had eight pencils and gave some away to her classmates. (This can be represented as \( 8 - x \), where \( x \) is the number of pencils given away.)
So, the situations that represent the expression \( 8 - x \) are:
- Eight servings of lunch decreased by some number.
- Naomi had eight pencils and gave some away to her classmates.
- Gabrielle decreased her eight-minute commute to school by some number of minutes. (Gabrielle's situation also applies as it follows the pattern of starting from 8 and subtracting some number of minutes).
Thus, the three valid situations that represent \( 8 - x \) would be:
- Eight servings of lunch decreased by some number.
- Naomi had eight pencils and gave some away to her classmates.
- Gabrielle decreased her eight-minute commute to school by some number of minutes.
(Note: "Jones County has eight fewer elective courses than Smith County" doesn't directly represent \( 8 - x \), as it's more about comparative quantities rather than a direct subtraction.)