The expression \(6 - x\) describes a situation where you start with 6 and reduce it by an unknown amount, represented by \(x\). Based on this understanding, here are the situations that match the expression \(6 - x\):
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Naomi gives some of her six pencils away.
- This represents \(6 - x\) because she starts with 6 pencils (the total) and gives away some (decreasing the count).
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Westville has 6 fewer schools than Eastville.
- This situation can be represented as \(Eastville's \ schools - 6\), which aligns with the concept of having a certain number and reducing it.
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Gabrielle decreased her 6-minute mile by an unknown amount of time.
- This situation aligns with \(6 - x\) since her original time is 6 minutes, and she decreases it by some amount (the unknown).
The other options do not represent the expression \(6 - x\):
- Sydney increased her collection of coins by six. (This is \(x + 6\), not matching \(6 - x\).)
- Benjamin lost six of his stickers. (This implies starting with a certain number and subtracting 6, represented as \(x - 6\).)
- Six servings of dinner were decreased by a number. (This could indicate starting with 6 servings and lowering that amount, but it does not explicitly state it in a way that matches \(6 - x\).)
Therefore, the three situations that represent the expression \(6 - x\) are:
- Naomi gives some of her six pencils away.
- Westville has 6 fewer schools than Eastville.
- Gabrielle decreased her 6-minute mile by an unknown amount of time.
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