Question

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 ?

Answer 1

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