Adam plans to choose a video game from a section of the store where everything is 75%
off. He writes the expression d−0.75d
to find the sale price of the game if the original price is d
dollars.
Rena correctly writes another expression, 0.25d
, that will also find the sale price of the game if the original price is d
dollars.
Drag each description to explain each part of both expressions.
CLEAR CHECK
d−0.75d
Adam's expression
0.25d
Rena's expression
d
0.25
0.75
d
Original price of video game
0.75d
0.25d
d−0.75d
Sale price of video game
d: Original price of video game
0.25: Percentage of the original price that remains after the discount (25%)
0.75: Percentage of the original price that is taken off as a discount (75%)
d-0.75d: Adam's expression for the sale price of the video game
0.25d: Rena's expression for the sale price of the video game
Adam's expression: d - 0.75d
- d: Original price of the video game
- 0.75d: The discount amount (75% off)
- Sale price of the video game: d - 0.75d
Rena's expression: 0.25d
- d: Original price of the video game
- 0.25: The percentage of the original price after the discount (25%)
- Sale price of the video game: 0.25d
CLEAR CHECK:
Original price of video game - d
Adam's expression - d - 0.75d
Rena's expression - 0.25d
Sale price of video game - d - 0.75d or 0.25d
In Adam's expression, d is the original price of the video game. To find the sale price, Adam subtracts 0.75d from d, which means he is taking 0.75 times d away from the original price.
In Rena's expression, 0.25d, Rena multiplies the original price, d, by 0.25. This represents a 75% discount, because she is taking away 0.25 times d from the original price.
So both expressions d - 0.75d and 0.25d ultimately give the sale price of the video game, taking into account the 75% discount.