Ryan goes to a store and buys an item that costs x dollars. He has a coupon for 20% off, and then a 8% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Ryan paid at the register.Answer:
Q. Ryan goes to a store and buys an item that costs x dollars. He has a coupon for 20% off, and then a 8% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Ryan paid at the register.Answer:
Calculate Discount Amount: Calculate the discount amount.To find the discount, we multiply the original price x by the discount rate, which is 20% or 0.20.Discount = x×0.20
Calculate Discounted Price: Calculate the discounted price.Subtract the discount from the original price to find the sale price.Sale price = x−(x×0.20)Simplify the expression.Sale price = x−0.20xSale price = 0.80x
Calculate Sales Tax: Calculate the sales tax on the discounted price.The sales tax rate is 8% or 0.08. We apply this rate to the sale price to find the tax amount.Sales tax = 0.80x×0.08
Simplify Sales Tax Expression: Simplify the expression for the sales tax.Sales tax = 0.80x×0.08Sales tax = 0.064x
Calculate Total Amount Paid: Calculate the total amount paid.Add the sales tax to the sale price to find the total amount paid.Total amount paid =Sale price+Sales taxTotal amount paid =0.80x+0.064x
Simplify Total Amount Paid: Simplify the expression for the total amount paid.Combine like terms to get the final expression.Total amount paid = 0.80x+0.064xTotal amount paid = 0.864x
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