Which situations can represent the expression 8−x ? Check the three that apply.(3 points)ResponsesGabrielle decreased her eight-minute commute to school by some number of minutes.Gabrielle decreased her eight-minute commute to school by some number of minutes.Jones County has eight fewer elective courses than Smith County.Jones County has eight fewer elective courses than Smith County.Naomi had eight pencils and gave some away to her classmates.Naomi had eight pencils and gave some away to her classmates.Benjamin lost eight of his socks.Benjamin lost eight of his socks.Sydney increased her collection of stamps by eight.Sydney increased her collection of stamps by eight.Eight serving of lunch decreased by some number.

1 answer

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:

  1. 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 \( x \).

  2. 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.

  3. 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.

  4. 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.

  5. Sydney increased her collection of stamps by eight.
    This does not represent \( 8 - x \) because it indicates an addition, not a subtraction.

  6. 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:

  1. Gabrielle decreased her eight-minute commute to school by some number of minutes.
  2. Naomi had eight pencils and gave some away to her classmates.
  3. Eight servings of lunch decreased by some number.
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