Which situations can represent the expression%C2%A06−x ? Check the%C2%A0three that apply.(3 points) Responses Gabrielle decreased her 6-minute mile by an unknown amount of time. Gabrielle decreased her 6-minute mile by an unknown amount of time. Sydney increased her collection of coins by six. Sydney increased her collection of coins by six. Six servings of dinner were decreased by a number. Six servings of dinner were decreased by a number. Westville has 6 fewer schools than Eastville. Westville has 6 fewer schools than Eastville. Benjamin lost six of his stickers. Benjamin lost six of his stickers. Naomi gives some of her six pencils away.

1 answer

The expression \(6 - x\) represents a situation where a certain quantity (in this case, 6) is decreased by some unknown amount \(x\). Here are the three situations that fit this expression:

  1. Gabrielle decreased her 6-minute mile by an unknown amount of time.

    • This represents \(6\) (the time in minutes) decreased by an unknown time \(x\).
  2. Six servings of dinner were decreased by a number.

    • This represents \(6\) (the servings of dinner) decreased by an unknown number \(x\).
  3. Westville has 6 fewer schools than Eastville.

    • This situation implies that Westville's number of schools can be represented as \(6 - x\), where \(x\) is the number of schools Eastville has.

The other two options do not fit the expression \(6 - x\):

  • Sydney increased her collection of coins by six.
  • Benjamin lost six of his stickers.
  • Naomi gives some of her six pencils away.

These do not represent a decrease from 6; therefore, they do not apply.

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