Question

Which situations can represent the expression%C2%A0 6−x ? Check the%C2%A0three that apply.(3 points) Responses Sydney increased her collection of coins by six. Sydney increased her collection of coins by six. Six servings of dinner were decreased by a number. Six servings of dinner were decreased by a number. 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. Benjamin lost six of his stickers. Benjamin lost six of his stickers. Naomi gives some of her six pencils away.

Answer 1

The expression \( 6 - x \) represents a situation where a value (6) is decreased by an unknown amount (\( x \)). Here are the situations from the provided options that fit this description:

1. **Six servings of dinner were decreased by a number.** - This corresponds directly to \( 6 - x \) where \( x \) is the number of servings decreased.

2. **Gabrielle decreased her 6-minute mile by an unknown amount of time.** - This situation reflects \( 6 - x \) where \( x \) represents the unknown amount of time decreased from her 6-minute mile.

3. **Westville has 6 fewer schools than Eastville.** - This also fits as it can be interpreted as stating that if Eastville has \( x \) schools, then Westville has \( 6 - x \).

The other situations provided do not fit the expression \( 6 - x \) as they either do not involve an unknown amount being subtracted from 6 or do not represent a situation involving the initial number being 6.

To summarize, the three situations that apply are:

- Six servings of dinner were decreased by a number.
- Gabrielle decreased her 6-minute mile by an unknown amount of time.
- Westville has 6 fewer schools than Eastville.