Zoey goes to a store and buys an item that costs x dollars. She has a coupon for 20% 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 Zoey paid at the register.Answer:
Q. Zoey goes to a store and buys an item that costs x dollars. She has a coupon for 20% 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 Zoey paid at the register.Answer:
Calculate discount amount: Calculate the discount amount.To find the discount amount, we take 20% of the original price x.Discount amount = 20% of x = 0.20×x
Calculate discounted price: Calculate the discounted price. The discounted price is the original price minus the discount amount. Discounted price = x - Discount amount = x−(0.20×x)
Calculate tax amount: Calculate the tax amount on the discounted price.Now we need to add a 7% tax to the discounted price. To find the tax amount, we take 7% of the discounted price.Tax amount = 7% of (Discounted price) = 0.07×(x−(0.20×x))
Calculate total amount paid: Calculate the total amount paid at the register.The total amount paid is the sum of the discounted price and the tax amount.Total amount paid = Discounted price + Tax amount = (x−(0.20×x))+(0.07×(x−(0.20×x)))
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