Question

"Adam goes to a store and buys an item that costs x dollars. He has a coupon for 25% off, and then a 7% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Adam paid at the register."

Answer 1

To find the total amount Adam paid at the register, apply the 25% off coupon to the original price and then add the 7% tax. The expression representing the total amount paid at the register is 0.75x * 1.07.

Step-by-step explanation:

To find the total amount Adam paid at the register, we need to first calculate the discounted price after applying the 25% off coupon. The discounted price is given by multiplying x by 1 - 0.25. So, the discounted price is x * (1 - 0.25) = x * 0.75.

Next, we need to add the 7% tax to the discounted price. The total amount paid at the register is given by adding the tax amount to the discounted price. The tax amount is given by multiplying the discounted price by 0.07. So, the total amount paid at the register is x * 0.75 + (x * 0.75 * 0.07) = x * 0.75 * (1 + 0.07).

Therefore, the expression in terms of x that represents the total amount Adam paid at the register is x * 0.75 * (1 + 0.07), which simplifies to 0.75x * 1.07.