Question
Which situations can represent the expression 8−x
? Check the three that apply.(3 points)
Responses
Sydney increased her collection of stamps by eight.
Sydney increased her collection of stamps by eight.
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.
Eight serving of lunch decreased by some number.
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.
Naomi had eight pencils and gave some away to her classmates.
? Check the three that apply.(3 points)
Responses
Sydney increased her collection of stamps by eight.
Sydney increased her collection of stamps by eight.
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.
Eight serving of lunch decreased by some number.
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.
Naomi had eight pencils and gave some away to her classmates.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The expression \( 8 - x \) represents a situation where you start with 8 (some quantity) and then decrease that quantity by \( x \) (the amount being subtracted from the original quantity).
Here are the situations that fit this context:
1. **Gabrielle decreased her eight-minute commute to school by some number of minutes.**
- This fits because if her commute was originally 8 minutes and then decreased, the remaining time would be \( 8 - x \) (where \( x \) is the number of minutes decreased).
2. **Eight servings of lunch decreased by some number.**
- This situation also fits as it starts with 8 servings and decreases by some number, leading to \( 8 - x \) servings remaining.
3. **Jones County has eight fewer elective courses than Smith County.**
- This fits as well because if Jones County has a number of elective courses that is \( 8 - x \) (where \( x \) is the number of courses they have fewer than Smith County).
The other options do not conform to the expression \( 8 - x \):
- **Sydney increased her collection of stamps by eight.** (This is an increase, not a decrease.)
- **Benjamin lost eight of his socks.** (This indicates he lost all 8, not that he started with 8 and then lost some fewer than 8.)
- **Naomi had eight pencils and gave some away to her classmates.** (This would mean she has fewer than 8 left, but it doesn’t frame it as \( 8 - x \) because it doesn’t explicitly indicate starting with 8 and subtracting some.)
So, the correct situations that represent the expression \( 8 - x \) are Gabrielle's, the servings of lunch, and Jones County's courses.
Here are the situations that fit this context:
1. **Gabrielle decreased her eight-minute commute to school by some number of minutes.**
- This fits because if her commute was originally 8 minutes and then decreased, the remaining time would be \( 8 - x \) (where \( x \) is the number of minutes decreased).
2. **Eight servings of lunch decreased by some number.**
- This situation also fits as it starts with 8 servings and decreases by some number, leading to \( 8 - x \) servings remaining.
3. **Jones County has eight fewer elective courses than Smith County.**
- This fits as well because if Jones County has a number of elective courses that is \( 8 - x \) (where \( x \) is the number of courses they have fewer than Smith County).
The other options do not conform to the expression \( 8 - x \):
- **Sydney increased her collection of stamps by eight.** (This is an increase, not a decrease.)
- **Benjamin lost eight of his socks.** (This indicates he lost all 8, not that he started with 8 and then lost some fewer than 8.)
- **Naomi had eight pencils and gave some away to her classmates.** (This would mean she has fewer than 8 left, but it doesn’t frame it as \( 8 - x \) because it doesn’t explicitly indicate starting with 8 and subtracting some.)
So, the correct situations that represent the expression \( 8 - x \) are Gabrielle's, the servings of lunch, and Jones County's courses.
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