1. The problem asks to find the expressions that represent the sale price of an item originally priced at $i$ dollars with a 25% discount. 2. The formula for the sale price after a discount is: $$\text{Sale Price} = \text{Original Price} - \text{Discount Amount}$$ where the discount amount is a percentage of the original price. 3. Since the discount is 25%, the discount amount is: $$0.25 \times i = 0.25i$$ 4. Therefore, the sale price is: $$i - 0.25i$$ 5. Simplifying the expression: $$i - 0.25i = (1 - 0.25)i = 0.75i$$ 6. Now, let's analyze each option: - $0.025i$: This is 2.5% of $i$, not 25%, so incorrect. - $0.075i$: This is 7.5% of $i$, not 25%, so incorrect. - $i - 0.25$: This subtracts a fixed amount 0.25 dollars, not 25% of $i$, so incorrect. - $i - 0.25i$: Correct, this is the sale price after 25% discount. - $i - 0.75i$: This equals $0.25i$, which is the discount amount, not the sale price, so incorrect. 7. The correct expressions representing the sale price are: $$i - 0.25i$$ and equivalently $$0.75i$$ "i - 0.25i" and "0.75i" represent the sale price after a 25% discount. Final answer: The expressions $i - 0.25i$ and $0.75i$ represent the sale price after a 25% discount.