AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
The expression represents the total amount Eli paid for a jacket originally priced dollars. Which changes to the original price could have resulted in this expression?Sales tax of and then a discount of A discount of and then sales taxA discount of and then sales taxA discount of and then sales tax
Full solution
Q. The expression represents the total amount Eli paid for a jacket originally priced dollars. Which changes to the original price could have resulted in this expression?Sales tax of and then a discount of A discount of and then sales taxA discount of and then sales taxA discount of and then sales tax
- Analyze Expression: Let's analyze the expression to understand what it represents. The expression can be broken down into two parts: and . The part represents a certain percentage of the original price , and the represents an additional percentage increase applied to the .
- Understand : First, we need to understand what means. Since represents the original price, means of the original price. This suggests that the jacket was discounted by , because , which means the customer is paying of the original price.
- Interpret : Next, we look at the multiplier. This represents a increase on the discounted price. In the context of a purchase, this would typically represent a sales tax. So, after applying the discount, a sales tax is added to the discounted price.
- Match with Choices: Now, let's match this understanding with the given choices. The correct choice should reflect a discount followed by a sales tax.
- Match with Choices: Now, let's match this understanding with the given choices. The correct choice should reflect a discount followed by a sales tax.Choice A: Sales tax of and then a discount of - This choice suggests a very small sales tax and then a discount, which is not consistent with our expression.
- Match with Choices: Now, let's match this understanding with the given choices. The correct choice should reflect a discount followed by a sales tax.Choice A: Sales tax of and then a discount of - This choice suggests a very small sales tax and then a discount, which is not consistent with our expression.Choice B: A discount of and then sales tax - This choice correctly reflects the order and percentages we derived from the expression. After a discount, the price becomes of the original, and then a sales tax is applied.
- Match with Choices: Now, let's match this understanding with the given choices. The correct choice should reflect a discount followed by a sales tax.Choice A: Sales tax of and then a discount of - This choice suggests a very small sales tax and then a discount, which is not consistent with our expression.Choice B: A discount of and then sales tax - This choice correctly reflects the order and percentages we derived from the expression. After a discount, the price becomes of the original, and then a sales tax is applied.Choice C: A discount of and then sales tax - This choice suggests very small percentages for both the discount and the sales tax, which does not match our expression.
- Match with Choices: Now, let's match this understanding with the given choices. The correct choice should reflect a discount followed by a sales tax.Choice A: Sales tax of and then a discount of - This choice suggests a very small sales tax and then a discount, which is not consistent with our expression.Choice B: A discount of and then sales tax - This choice correctly reflects the order and percentages we derived from the expression. After a discount, the price becomes of the original, and then a sales tax is applied.Choice C: A discount of and then sales tax - This choice suggests very small percentages for both the discount and the sales tax, which does not match our expression.Choice D: A discount of and then sales tax - This choice has the correct discount percentage but an incorrect sales tax percentage.
