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. Eight serving of lunch decreased by some number. Eight serving of lunch decreased by some number. Jones County has eight fewer elective courses than Smith County. Jones County has eight fewer elective courses than Smith County. Benjamin lost eight of his socks. Benjamin lost eight of his socks. Naomi had eight pencils and gave some away to her classmates. Naomi had eight pencils and gave some away to her classmates. Gabrielle decreased her eight-minute commute to school by some number of minutes.

Answer 1

The expression $8-x$ can represent situations where you start with a total of 8 and then decrease that total by some amount $x$. Here are the options that apply based on that understanding:

1. Eight servings of lunch decreased by some number. (This corresponds to $8-x$, where $x$ is the number of servings decreased.)

2. Jones County has eight fewer elective courses than Smith County. (This suggests an initial number of courses in Smith County, and it can be represented as $x-8$, but based on the context of the question, this could still be interpreted in a similar way as $8-x$ if adjusting to find the comparison.)

3. Naomi had eight pencils and gave some away to her classmates. (This can be represented as $8-x$, where $x$ is the number of pencils given away.)

So, the situations that represent the expression $8-x$ are:

1. Eight servings of lunch decreased by some number.
2. Naomi had eight pencils and gave some away to her classmates.
3. Gabrielle decreased her eight-minute commute to school by some number of minutes. (Gabrielle's situation also applies as it follows the pattern of starting from 8 and subtracting some number of minutes).

Thus, the three valid situations that represent $8-x$ would be:

• Eight servings of lunch decreased by some number.
• Naomi had eight pencils and gave some away to her classmates.
• Gabrielle decreased her eight-minute commute to school by some number of minutes.

(Note: "Jones County has eight fewer elective courses than Smith County" doesn't directly represent $8-x$, as it's more about comparative quantities rather than a direct subtraction.)