What does the expression 0.90(d – 5) refer to? How do you know? How else

could this expression be written?

1 answer

The expression \( 0.90(d - 5) \) typically represents a scenario where 90% of the quantity \( (d - 5) \) is being considered.

Explanation:

  1. Interpreting the Components:
    • \( d \): This could represent a variable, possibly a base value or quantity.
    • \( (d - 5) \): This part indicates some adjustment to the base value \( d \), suggesting that 5 units are being subtracted from it.
    • \( 0.90 \): This indicates that we are taking 90% of whatever \( (d - 5) \) evaluates to. In a practical sense, this could refer to a discount, a percentage of a quantity, or a similar calculation where a proportion is being applied to a reduced amount.

Alternative Form:

The expression can also be rewritten by distributing \( 0.90 \) across \( (d - 5) \):

\[ 0.90(d - 5) = 0.90d - 0.90 \times 5 = 0.90d - 4.5 \]

Thus, \( 0.90(d - 5) \) could alternatively be expressed as \( 0.90d - 4.5 \).

Summary:

The expression represents 90% of the adjusted value \( (d - 5) \), and it can also be rewritten as \( 0.90d - 4.5 \).