The expression \( 8 - x \) represents a situation where you start with 8 and subtract some number \( x \) from it. Therefore, we are looking for scenarios in which a quantity of 8 is reduced by some amount.
Let's evaluate each response:
-
Gabrielle decreased her eight-minute commute to school by some number of minutes.
This situation can be represented by \( 8 - x \) because she starts at 8 minutes and decreases it by \( x \). -
Jones County has eight fewer elective courses than Smith County.
This situation does not represent \( 8 - x \) clearly because it does not suggest a subtraction from 8 but rather suggests a comparison between two different quantities. -
Naomi had eight pencils and gave some away to her classmates.
This situation can be represented by \( 8 - x \) where \( x \) is the number of pencils given away. -
Benjamin lost eight of his socks.
This situation does not represent \( 8 - x \). It indicates that he had a certain number of socks and lost 8, which does not imply starting from 8 and subtracting. -
Sydney increased her collection of stamps by eight.
This does not represent \( 8 - x \) because it indicates an addition, not a subtraction. -
Eight servings of lunch decreased by some number.
This can be represented as \( 8 - x \) since it suggests starting with 8 servings and reducing it by \( x \).
Based on the assessment, the three situations that represent the expression \( 8 - x \) are:
- Gabrielle decreased her eight-minute commute to school by some number of minutes.
- Naomi had eight pencils and gave some away to her classmates.
- Eight servings of lunch decreased by some number.