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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. 
0.15 x
B. 
x-15
C. 
x-0.15
D. 
x-0.15 x

44. At a store, a hat has a regular price of x x dollars. During a sale, the price of the hat is discounted by 15% 15 \% . The expression 00.8585 x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat?\newlineA. 0.15x 0.15 x \newlineB. x15 x-15 \newlineC. x0.15 x-0.15 \newlineD. x0.15x x-0.15 x

Full solution

Q. 44. At a store, a hat has a regular price of x x dollars. During a sale, the price of the hat is discounted by 15% 15 \% . The expression 00.8585 x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat?\newlineA. 0.15x 0.15 x \newlineB. x15 x-15 \newlineC. x0.15 x-0.15 \newlineD. x0.15x x-0.15 x
  1. Original Price Calculation: The original price of the hat is xx dollars. A discount of 15%15\% means the hat's price is reduced by 15%15\% of xx.
  2. Calculate 15%15\% of xx: To calculate 15%15\% of xx, we multiply xx by 0.150.15, which gives us 0.15x0.15x.
  3. Calculate Discounted Price: The discounted price is the original price minus the discount. So, we subtract 0.15x0.15x from xx to get the discounted price: x0.15xx - 0.15x.
  4. Combine Like Terms: Simplify the expression x0.15xx - 0.15x by combining like terms. This gives us 0.85x0.85x, which matches the expression given in the problem.
  5. Correct Expression: Looking at the choices, we see that D. x0.15xx - 0.15x is the correct expression that also describes the discounted price of the hat.

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