A book is on sale for 25% off. If the original price of the book was D dollars, what is the sale price, in dollars, in terms of D?
0.75D is the sale price of the book in terms of D dollars.
A discount of 25% means that you are paying 75% of the original price. To calculate this, you multiply the original price by 0.75 (75% expressed as a decimal).
This answer suggests that the discount is a flat amount of $25 off the original price. However, the problem specifies that the discount is 25%, not $25, so this answer is incorrect.
This answer indicates that the price after the discount is 7.5 times the original price, which would mean the price increased rather than decreased. This contradicts the problem statement that there is a discount, so this answer is incorrect.
This answer correctly applies the 25% discount by multiplying the original price by 0.75. This leaves you with 75% of the original price, or the price after the 25% discount, in line with the question's requirements.
This answer suggests that the price after the discount is 25% of the original price. However, this would be the case if the discount was 75%, not 25%. Therefore, this answer is incorrect.
When a discount is given as a percentage, the price after the discount is found by multiplying the original price by the complement of the discount rate (expressed as a decimal). In this case, the discount is 25%, so the complement is 75%, or 0.75 as a decimal. Therefore, the sale price of the book in terms of D dollars is 0.75D.
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