Question

a store is offering a 20% discount on all items. write an equation for the relationship between the discount price of an item, d, and its original price, p.

Explanation:

Step1: Determine the discount amount

A 20% discount means the customer pays 100% - 20% = 80% of the original price. 80% as a decimal is 0.8.

Step2: Relate discount price to original price

The discount price \( d \) is equal to 80% of the original price \( p \). So the equation is \( d = 0.8p \) (or \( d = p - 0.2p \), which simplifies to the same).

Answer:

\( d = 0.8p \) (or equivalent forms like \( d = p(1 - 0.2) \))