Question

Julian goes to a store an buys an item that costs � x dollars. He has a coupon for 20% off, and then a 4% tax is added to the discounted price. Write an expression in terms of � x that represents the total amount that Julian paid at the register.

Answer 1

If Julian buys an item that costs £x, then the amount of discount he receives from the 20% off coupon is:

Discount = 0.2x

The discounted price that Julian pays after the coupon is applied is:

Price after discount = x - 0.2x = 0.8x

Next, a 4% tax is added to the discounted price, which can be calculated as:

Tax = 0.04(0.8x) = 0.032x

Therefore, the total amount that Julian paid at the register can be expressed in terms of £x as:

Total amount = Price after discount + Tax

Total amount = 0.8x + 0.032x

Total amount = 0.832x

So, the expression in terms of £x that represents the total amount that Julian paid at the register is 0.832x.