1. **State the problem:** We need to determine the unit price for each option and explain why the given unit prices $2.42, $2.33,$ and $2.58$ correspond to the quantities and total prices listed. 2. **Formula for unit price:** The unit price is calculated by dividing the total price by the number of poster boards: $$\text{Unit Price} = \frac{\text{Total Price}}{\text{Number of Poster Boards}}$$ 3. **Calculate unit price for 12 poster boards:** $$\frac{29}{12} = 2.4166... \approx 2.42$$ 4. **Calculate unit price for 24 poster boards:** $$\frac{56}{24} = 2.3333... \approx 2.33$$ 5. **Calculate unit price for 50 poster boards:** $$\frac{129}{50} = 2.58$$ 6. **Explanation:** The unit prices are rounded to the nearest cent. The calculated unit prices match the given prices exactly when rounded, so the unit prices $2.42, 2.33,$ and $2.58$ correspond correctly to the 12, 24, and 50 poster board options respectively. **Final answer:** - 12 poster boards: $2.42$ per board - 24 poster boards: $2.33$ per board - 50 poster boards: $2.58$ per board This explains why the unit prices are assigned to these options.