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Which situations can represent the expression 8−x

? Check the three that apply.(3 points)
Responses

Naomi had eight pencils and gave some away to her classmates.
Naomi had eight pencils and gave some away to her classmates.

Sydney increased her collection of stamps by eight.
Sydney increased her collection of stamps by eight.

Benjamin lost eight of his socks.
Benjamin lost eight of his socks.

Jones County has eight fewer elective courses than Smith County.
Jones County has eight fewer elective courses than Smith County.

Gabrielle 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.

Eight serving of lunch decreased by some number.

5 answers

The expression \( 8 - x \) represents a situation where something starts at 8 and decreases by some amount \( x \). Based on this understanding, the situations that apply are:

  1. Naomi had eight pencils and gave some away to her classmates. (This illustrates a decrease from 8.)

  2. Gabrielle decreased her eight-minute commute to school by some number of minutes. (This indicates a decrease from the original 8 minutes.)

  3. Jones County has eight fewer elective courses than Smith County. (This implies that the number of elective courses in Jones County is 8 minus some number, indicating a decrease from 8.)

The other options, such as Sydney increasing her collection of stamps by eight and Benjamin losing eight socks, do not fit the expression \( 8 - x \) because they do not involve a reduction from the starting value of 8.

So the three situations that represent \( 8 - x \) are:

  1. Naomi had eight pencils and gave some away to her classmates.
  2. Gabrielle decreased her eight-minute commute to school by some number of minutes.
  3. Jones County has eight fewer elective courses than Smith County.
wrong

I apologize for the oversight. Let’s clarify which situations correctly represent the expression \(8 - x\), where \(x\) is some quantity being taken away from 8.

The expression \(8 - x\) typically describes a scenario where something starts with a total of 8, and then some quantity \(x\) is subtracted from it.

Considering this, the appropriate situations should be:

  1. Naomi had eight pencils and gave some away to her classmates. (This means she started with 8 and is losing some, represented by \(8 - x\).)

  2. Gabrielle decreased her eight-minute commute to school by some number of minutes. (This indicates a situation where her commute time decreases from 8 minutes, fitting \(8 - x\).)

  3. Jones County has eight fewer elective courses than Smith County. (This scenario implies that if Smith County has some courses, Jones County has 8 less than that amount, also fitting \(8 - x\).)

The incorrect options would be:

  • Sydney increased her collection of stamps by eight. (This indicates an increase, not a decrease.)
  • Benjamin lost eight of his socks. (This situation does not indicate that he had 8 and then lost some; rather, he simply lost 8.)

It looks like my previous message was incorrect about Jones County; the expression \(8 - x\) wouldn't apply unless we know the total number of electives in Smith County.

So, the correct situations representing \(8 - x\) are:

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

Thank you for your patience, and I'm sorry for the confusion!

''Jones County has eight fewer elective courses than Smith County'' is wrong

Thank you for your clarification, and I apologize for the mistake.

Upon reviewing the scenarios again:

The expression \(8 - x\):

  • Represents a situation where you start with 8 and then subtract some number \(x\).

Evaluating the options:

  1. Naomi had eight pencils and gave some away to her classmates.

    • This fits \(8 - x\) because she starts with 8 and gives away some, reducing her count.

  2. Sydney increased her collection of stamps by eight.

    • This does not fit \(8 - x\) because it's an increase, not a decrease.

  3. Benjamin lost eight of his socks.

    • This does not fit \(8 - x\) because it indicates losing 8, not starting from 8 and subtracting.

  4. Jones County has eight fewer elective courses than Smith County.

    • This does not represent \(8 - x\) as it’s comparing two quantities rather than indicating a subtraction from 8.

  5. Gabrielle decreased her eight-minute commute to school by some number of minutes.

    • This fits \(8 - x\) because it represents starting with 8 minutes and then reducing it.

  6. Eight servings of lunch decreased by some number.

    • This situation also fits \(8 - x\) as it implies starting with 8 and then decreasing the number of servings.

Summary of the correct situations:

The three situations that represent the expression \(8 - x\) would be:

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

Thank you for your patience, and I appreciate your helping to clarify the question!