1. **State the problem:** We have an item with an original price of $i$ dollars, and it is on sale for 25% off. We want to find expressions that correctly represent the sale price. 2. **Formula and explanation:** The sale price after a discount is given by: $$\text{Sale Price} = \text{Original Price} - \text{Discount}$$ where the discount is a percentage of the original price. 3. **Calculate the discount:** 25% off means the discount is 25% of $i$, which is: $$0.25i$$ 4. **Calculate the sale price:** Subtract the discount from the original price: $$i - 0.25i$$ 5. **Simplify the expression:** $$i - 0.25i = (1 - 0.25)i = 0.75i$$ 6. **Check each given expression:** - $0.025i$: 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, not 25% of $i$, so incorrect. - $i - 0.25i$: Correct, this is the original price minus 25% of the original price. - $i - 0.75i$: This equals $0.25i$, which is the discount, not the sale price, so incorrect. **Final answer:** The expressions that represent the sale price are: $$i - 0.25i \quad \text{and} \quad 0.75i$$