Final answer:
To determine the regular price of the sofa, we understand that the sale price represents 66% of the regular price because the discount is 34%. Dividing the sale price of $627 by 0.66 reveals that the regular price is $950.
Step-by-step explanation:
The student asks how to calculate the regular price of a sofa that is on sale for 34% off and sold at a sale price of $627. To find the regular price, we need to determine what percentage of the regular price the sale price is. If the sofa is 34% off, this means the sofa is being sold at 66% (100% - 34%) of its regular price. Therefore, we set up the following equation:
0.66 × (Regular Price) = $627
Dividing both sides by 0.66 gives us:
Regular Price = $627 / 0.66
Regular Price = $950
Thus, the regular price of the sofa is $950.