Which situations can represent the expression 6−x

? 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.

Naomi gives some of her six pencils away.
Naomi gives some of her six pencils away.

Benjamin lost six of his stickers.
Benjamin lost six of his stickers.

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

Sydney increased her collection of coins by six.
Sydney increased her collection of coins by six.

Westville has 6 fewer schools than Eastville.

1 answer

The expression \( 6 - x \) represents a situation where a total amount (6) is decreased by some unknown quantity (\( x \)). Based on this interpretation, the following situations from your list apply:

  1. Gabrielle decreased her 6-minute mile by an unknown amount of time. - This indicates that Gabrielle's mile time is diminished from 6 minutes by some unknown time, which aligns with the expression.

  2. Naomi gives some of her six pencils away. - Here, the total number of pencils (6) is decreased by the number of pencils she gave away, which can be represented by \( 6 - x \).

  3. Six servings of dinner were decreased by a number. - This implies that the original six servings were reduced by some unknown quantity, fitting the \( 6 - x \) expression.

The other options:

  • Benjamin lost six of his stickers. - This suggests a total loss of 6, not a subtraction from 6.

  • Sydney increased her collection of coins by six. - This indicates an increase to a number, rather than a decrease from 6.

  • Westville has 6 fewer schools than Eastville. - This situation describes a comparison that doesn't fit the \( 6 - x \) format directly in the context given.

Thus, the three situations that represent the expression \( 6 - x \) are the first, second, and fourth options.

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