1. The problem involves understanding the relationships between the original price of a video game, the sale price, the percent of the original price Adam will pay, the percent discount, and the amount of discount. 2. Let $d$ represent the original price of the video game. 3. The sale price is given by the expression $d - 0.75d$. 4. Simplify the sale price expression: $$d - 0.75d = (1 - 0.75)d = 0.25d$$ This means the sale price is 25% of the original price. 5. The percent of the original price Adam will pay is $0.25$ or 25%. 6. The percent discount is the complement of the percent paid, which is $1 - 0.25 = 0.75$ or 75%. 7. The amount of discount is the difference between the original price and the sale price: $$d - 0.25d = 0.75d$$ 8. Summary: - Original price: $d$ - Sale price: $0.25d$ - Percent of original price Adam will pay: 25% - Percent discount: 75% - Amount of discount: $0.75d$ This matches the expressions in the table where Adam's expression for sale price is $d - 0.75d$, which simplifies to $0.25d$, and Rena's expression for amount of discount is $0.75d$.