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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:

Zoey goes to a store and buys an item that costs x x dollars. She has a coupon for 20% 20 \% off, and then a 7% 7 \% tax is added to the discounted price. Write an expression in terms of x x that represents the total amount that Zoey paid at the register.\newlineAnswer:

Full solution

Q. Zoey goes to a store and buys an item that costs x x dollars. She has a coupon for 20% 20 \% off, and then a 7% 7 \% tax is added to the discounted price. Write an expression in terms of x x that represents the total amount that Zoey paid at the register.\newlineAnswer:
  1. Calculate discount amount: Calculate the discount amount.\newlineTo find the discount amount, we take 20%20\% of the original price xx.\newlineDiscount amount = 20%20\% of xx = 0.20×x0.20 \times x
  2. Calculate discounted price: Calculate the discounted price. The discounted price is the original price minus the discount amount. Discounted price = xx - Discount amount = x(0.20×x)x - (0.20 \times x)
  3. Calculate tax amount: Calculate the tax amount on the discounted price.\newlineNow we need to add a 7%7\% tax to the discounted price. To find the tax amount, we take 7%7\% of the discounted price.\newlineTax amount = 7%7\% of (Discounted price) = 0.07×(x(0.20×x))0.07 \times (x - (0.20 \times x))
  4. Calculate total amount paid: Calculate the total amount paid at the register.\newlineThe total amount paid is the sum of the discounted price and the tax amount.\newlineTotal amount paid = Discounted price + Tax amount = (x(0.20×x))+(0.07×(x(0.20×x)))(x - (0.20 \times x)) + (0.07 \times (x - (0.20 \times x)))

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