Question
Which situations can represent the expression 6−x
? Check the three that apply.(3 points)
Responses
Naomi gives some of her six pencils away.
Naomi gives some of her six pencils away.
Sydney increased her collection of coins by six.
Sydney increased her collection of coins by six.
Benjamin lost six of his stickers.
Benjamin lost six of his stickers.
Westville has 6 fewer schools than Eastville.
Westville has 6 fewer schools than Eastville.
Gabrielle decreased her 6-minute mile by an unknown amount of time.
Gabrielle decreased her 6-minute mile by an unknown amount of time.
Six servings of dinner were decreased by a number.
? Check the three that apply.(3 points)
Responses
Naomi gives some of her six pencils away.
Naomi gives some of her six pencils away.
Sydney increased her collection of coins by six.
Sydney increased her collection of coins by six.
Benjamin lost six of his stickers.
Benjamin lost six of his stickers.
Westville has 6 fewer schools than Eastville.
Westville has 6 fewer schools than Eastville.
Gabrielle decreased her 6-minute mile by an unknown amount of time.
Gabrielle decreased her 6-minute mile by an unknown amount of time.
Six servings of dinner were decreased by a number.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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:
1. **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.
2. **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 \(6 - x\).
3. **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:
1. Naomi gives some of her six pencils away.
2. Gabrielle decreased her 6-minute mile by an unknown amount of time.
3. Six servings of dinner were decreased by a number.
1. **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.
2. **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 \(6 - x\).
3. **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:
1. Naomi gives some of her six pencils away.
2. Gabrielle decreased her 6-minute mile by an unknown amount of time.
3. Six servings of dinner were decreased by a number.
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