Question

Ava goes to a store and buys an item that costs x dollars. She has a coupon for 25% off, and then a 9% tax is added to the discounted price. Write an expression in terms of x, that represents the total amount that Ava paid at register?

Answer 1

The total amount that Ava pays at the register for an item that originally costs x dollars, after a 25% discount and an added 9% tax, can be represented by the expression 0.8175x in mathematics.

Step-by-step explanation:

The student Ava is shopping and has an item that costs x dollars. She applies a 25% discount to the item reducing the cost by (0.25 * x). The new price is now (0.75 * x dollars).

After this discount, a 9% tax is applied. Therefore, the total amount she pays at the register is calculated by adding this tax to the discounted price of the item. This is represented by multiplying the discounted price (0.75 * x) by 1.09 (representing the added 9% tax).

So, Ava's total payment becomes 1.09*(0.75*x) which simplifies to 0.8175x.

This can also be understood step by step: She first receives a 25% discount on the original price x that gives her a new price of 0.75x. And then a 9% tax is added to this resulting price, which leads to an overall price of 1.09*(0.75x) = 0.8175x.

Learn more about Discount and Tax