Question

Cameron goes to a store and buys an item that costs xx dollars. He has a coupon for 10% off, and then a 8% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Cameron paid at the register.

Answer 1

To find the total amount Cameron paid at the register after applying the 10% discount and then adding 8% tax, we can break it down into steps.

1. **Calculate the discount:**
The discount on the item is 10% of the original price \( x \).
Discount = \( 0.10x \)

2. **Calculate the discounted price:**
The price after applying the discount is:
Discounted price = \( x - 0.10x = 0.90x \)

3. **Calculate the tax on the discounted price:**
The tax is 8% of the discounted price.
Tax = \( 0.08 \times (0.90x) \)
Tax = \( 0.072x \)

4. **Calculate the total amount paid:**
The total amount paid is the discounted price plus the tax:
Total Amount = \( \text{Discounted Price} + \text{Tax} \)
Total Amount = \( 0.90x + 0.072x \)
Total Amount = \( 0.972x \)

Thus, the expression representing the total amount that Cameron paid at the register is:
\[
0.972x
\]