Question
The final cost of a clothing store purchase with a $10 discount in a state that charges 6% sales tax is given by this expression.
1.06 (x−10)
The variable x represents the amount of the purchase before the sales tax and the discount are applied.
Part 1: What does x-10 represent?
Responses
The cost of the original price being discounted.
The cost of the original price being discounted.
The rate at which the total cost increases.
The rate at which the total cost increases.
The total charge before applying sales tax.
The total charge before applying sales tax.
The total charge after tax.
The total charge after tax.
Question 2
Part 2: What does 1.06 represent?
Responses
The total charge before applying sales tax.
The total charge before applying sales tax.
The total charge after tax.
The total charge after tax.
The tax rate at which the total cost increases.
The tax rate at which the total cost increases.
The cost before applying for the discount
1.06 (x−10)
The variable x represents the amount of the purchase before the sales tax and the discount are applied.
Part 1: What does x-10 represent?
Responses
The cost of the original price being discounted.
The cost of the original price being discounted.
The rate at which the total cost increases.
The rate at which the total cost increases.
The total charge before applying sales tax.
The total charge before applying sales tax.
The total charge after tax.
The total charge after tax.
Question 2
Part 2: What does 1.06 represent?
Responses
The total charge before applying sales tax.
The total charge before applying sales tax.
The total charge after tax.
The total charge after tax.
The tax rate at which the total cost increases.
The tax rate at which the total cost increases.
The cost before applying for the discount
Answers
GPT-4o mini
**Part 1: What does x - 10 represent?**
The correct response is: **The cost of the original price being discounted.**
This is because \( x \) is the total amount of the purchase before any discounts or taxes, and \( x - 10 \) reflects the price after a $10 discount has been applied.
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**Part 2: What does 1.06 represent?**
The correct response is: **The total charge after tax.**
This is because 1.06 accounts for the original amount (after discount) plus the 6% sales tax. It is calculated as \( 1 + 0.06 = 1.06 \), meaning you multiply the discounted price by 1.06 to determine the final cost after tax is applied.
The correct response is: **The cost of the original price being discounted.**
This is because \( x \) is the total amount of the purchase before any discounts or taxes, and \( x - 10 \) reflects the price after a $10 discount has been applied.
---
**Part 2: What does 1.06 represent?**
The correct response is: **The total charge after tax.**
This is because 1.06 accounts for the original amount (after discount) plus the 6% sales tax. It is calculated as \( 1 + 0.06 = 1.06 \), meaning you multiply the discounted price by 1.06 to determine the final cost after tax is applied.