The expression \(6 - x\) represents a situation where a quantity (6) is decreased by an unknown amount (\(x\)). Here are the situations that represent this expression:
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Naomi gives some of her six pencils away.
- This implies that she started with 6 pencils and gave some away, resulting in \(6 - x\) pencils left.
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Gabrielle decreased her 6-minute mile by an unknown amount of time.
- This represents decreasing her time from 6 minutes by some unknown amount, which can be expressed as \(6 - x\).
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Six servings of dinner were decreased by a number.
- This also implies starting with 6 servings and decreasing it by some unknown amount, represented as \(6 - x\).
The other two options do not fit the expression \(6 - x\):
- Sydney increased her collection of coins by six. (This represents \(x + 6\) instead of \(6 - x\).)
- Benjamin lost six of his stickers. (This represents a loss of 6, which is not in the form of \(6 - x\).)
- Westville has 6 fewer schools than Eastville. (This cannot be represented by \(6 - x\) as it compares the number of schools in two different locations, not a reduction from 6.)
Therefore, the three correct responses are:
- Naomi gives some of her six pencils away.
- Gabrielle decreased her 6-minute mile by an unknown amount of time.
- Six servings of dinner were decreased by a number.