4. At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 15%. The expression 0.85 x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat?A. 0.15xB. x−15C. x−0.15D. x−0.15x
Q. 4. At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 15%. The expression 0.85 x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat?A. 0.15xB. x−15C. x−0.15D. x−0.15x
Original Price Calculation: The original price of the hat is x dollars. A discount of 15% means the hat's price is reduced by 15% of x.
Calculate 15% of x: To calculate 15% of x, we multiply x by 0.15, which gives us 0.15x.
Calculate Discounted Price: The discounted price is the original price minus the discount. So, we subtract 0.15x from x to get the discounted price: x−0.15x.
Combine Like Terms: Simplify the expression x−0.15x by combining like terms. This gives us 0.85x, which matches the expression given in the problem.
Correct Expression: Looking at the choices, we see that D. x−0.15x is the correct expression that also describes the discounted price of the hat.
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