At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat? A. 0.2x

B. x-20

C. x-0.2

D. x-0.2x

Can someone explain why is D correct?

Step-by-step explanation:

x-.20x

Lets say the hat cost $100

x=100

multiplying 100 by 20% which is. 20 yields $20

S0 $20 is the discount which we subtract from the original price

100-20 and get the sale price of $80

They use a shortcut so you don't have to do the subtracting of the discount

They say if the price is being discounted subtract the discount from 1 and multiply that by the original amount

So in this case the discount percent was 20% =.20

Subtracted from 1

1-.20=.80

Since x is the original price we multiply x by the. 80 to get

.80x