Madeline goes to a store and buys an item that costs x dollars. She has a coupon for 15% 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 Madeline paid at the register.Answer:
Q. Madeline goes to a store and buys an item that costs x dollars. She has a coupon for 15% 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 Madeline paid at the register.Answer:
Calculate Discount Amount: First, we need to calculate the discount amount that Madeline gets with her coupon. The discount is 15% of the original price x.Discount Amount = Original price × Discount percentage= x×10015= x×0.15
Find Discounted Price: Next, we subtract the discount amount from the original price to find the discounted price Madeline has to pay before tax.Discounted price = Original price - Discount Amount= x−(x×0.15)= x−0.15x= 0.85x
Calculate Tax Amount: Now, we need to calculate the tax amount that will be added to the discounted price. The tax is 4% of the discounted price.Tax Amount = Discounted price × Tax percentage= 0.85x×1004= 0.85x×0.04= 0.034x
Calculate Total Cost: Finally, we add the tax amount to the discounted price to find the total amount Madeline paid at the register.Total cost = Discounted price + Tax Amount= 0.85x+0.034x= 0.884x
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