Which situations can represent the expression 6−x

Question

? Check the three that apply.(3 points)
Responses

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.
Naomi gives some of her six pencils away.

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.

Answer 1

The expression \(6 - x\) represents a situation where a certain initial quantity (in this case, 6) is decreased by an unknown amount \(x\). Here are the situations that match this expression:

1. Gabrielle decreased her 6-minute mile by an unknown amount of time.

   • This situation represents \(6 - x\) where \(x\) is the unknown amount of time she decreased her mile time.

2. Naomi gives some of her six pencils away.

   • This represents \(6 - x\) where \(x\) is the unknown number of pencils Naomi gives away.

3. Six servings of dinner were decreased by a number.

   • This situation also corresponds to \(6 - x\), where \(x\) is the unknown number of servings that were decreased.

The other options do not represent the expression \(6 - x\):

• Benjamin lost six of his stickers. (This indicates a loss of six, not a decrease of an unknown amount from six.)
• Sydney increased her collection of coins by six. (This indicates an increase, not a decrease.)
• Westville has 6 fewer schools than Eastville. (This indicates a comparison, not a decrease from an original amount.)

Therefore, the three correct choices are:

1. Gabrielle decreased her 6-minute mile by an unknown amount of time.
2. Naomi gives some of her six pencils away.
3. Six servings of dinner were decreased by a number.