Question
Frances bought a new dress that was discounted by 29%. She used the following expression to find the price of the dress after the discount was applied.
d - (0.29)d
Which of the following is another expression that could be used to get the same result, and what does it represent?
A.
d - 29. This represents 29% of the original price of the dress after the discount was applied.
B.
71d. This represents 71% of the original price of the dress after the discount was applied.
C.
0.71d. This represents 71% of the original price of the dress after the discount was applied.
D.
d - 0.29. This represents 0.29% of the original price of the dress after the discount was applied.
d - (0.29)d
Which of the following is another expression that could be used to get the same result, and what does it represent?
A.
d - 29. This represents 29% of the original price of the dress after the discount was applied.
B.
71d. This represents 71% of the original price of the dress after the discount was applied.
C.
0.71d. This represents 71% of the original price of the dress after the discount was applied.
D.
d - 0.29. This represents 0.29% of the original price of the dress after the discount was applied.
Answers
GPT-4o mini
To find the price of the dress after the discount is applied, we start with the original price \( d \) and apply a 29% discount. The expression Frances used, \( d - (0.29)d \), can be rewritten as:
\[
d(1 - 0.29) = d(0.71)
\]
This means that after applying the discount, the price of the dress is 71% of the original price. Thus, we can also express the final price using \( 0.71d \).
Now, let's evaluate the options given:
- **A. \( d - 29 \)**: This represents removing a flat $29 from the price, which does not deal with the percentage and is incorrect.
- **B. \( 71d \)**: This would represent 71 times the original price, which is incorrect as it increases the price rather than reflecting the discount.
- **C. \( 0.71d \)**: This represents 71% of the original price of the dress after the discount was applied. This is correct.
- **D. \( d - 0.29 \)**: This represents removing $0.29 from the price, which does not reflect the 29% discount and is incorrect.
The correct answer is **C. \( 0.71d \)**. This represents 71% of the original price of the dress after the discount was applied.
\[
d(1 - 0.29) = d(0.71)
\]
This means that after applying the discount, the price of the dress is 71% of the original price. Thus, we can also express the final price using \( 0.71d \).
Now, let's evaluate the options given:
- **A. \( d - 29 \)**: This represents removing a flat $29 from the price, which does not deal with the percentage and is incorrect.
- **B. \( 71d \)**: This would represent 71 times the original price, which is incorrect as it increases the price rather than reflecting the discount.
- **C. \( 0.71d \)**: This represents 71% of the original price of the dress after the discount was applied. This is correct.
- **D. \( d - 0.29 \)**: This represents removing $0.29 from the price, which does not reflect the 29% discount and is incorrect.
The correct answer is **C. \( 0.71d \)**. This represents 71% of the original price of the dress after the discount was applied.