The list price of a backpack is $54.00, and the store applies a 7.5% sales tax.

Which equations can be used to determine the total price, y, after sales tax, where x represents the list price of the backpack?

Select TWO correct answers.
A.y= x + 0.075x
B.y= 0.75x
C.y= 0.075x
D.y= 1.075x
E.y= 1.75x

To find the total price after sales tax, we need to add the tax to the original price. The sales tax is 7.5%, which can be written as 0.075 in decimal form.

The total price $ y $ after tax is:

1. The original price $ x $ plus 7.5% of $ x $:  
   $ y = x + 0.075x $  
   This simplifies to:  
   $ y = 1x + 0.075x = 1.075x $

So, the correct equations are:

- **A. $ y = x + 0.075x $**
- **D. $ y = 1.075x $**

These both correctly describe the relationship between the total price and the list price after applying the sales tax.

Would you like more details or further clarification?

Here are 5 related questions:
1. How would the equation change if the sales tax was 10%?
2. What would the total price be if the backpack was $100 with the same tax?
3. How do you convert percentages to decimals in such problems?
4. What is the difference between multiplying by 1.075 and adding $ 0.075x $?
5. How would the total change if the store offered a discount before applying tax?

**Tip:** To calculate a percentage increase, multiply by $ 1 + $ the percentage as a decimal.

The list price of a backpack is $54.00, and the store applies a 7.5% sales tax. Which equations can be used to determine the total price, y, after sales tax, where x represents the list price of the backpack? Select TWO correct answers. A. y = x + 0.075x B. y = 0.75x C. y = 0.075x D. y = 1.075x E. y = 1.75x

Learn how to calculate the total price of a backpack after a 7.5% sales tax. Understand key algebraic concepts like percentages and linear equations. This problem demonstrates the correct formulas to use: y = x + 0.075x and y = 1.075x, suitable for Grades 6-8.

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