Question
Julian bought a new pair of shoes that were discounted by 20%. He used the following expression to find the price of the shoes after the discount was applied.
s - (0.2)s
Which of the following is another expression that could be used to get the same result, and what does it represent?
A.
s − 0.2. This represents 0.2% of the original price of the shoes after the discount was applied.
B.
80s. This represents 80% of the original price of the shoes after the discount was applied.
C.
0.8s. This represents 80% of the original price of the shoes after the discount was applied.
D.
s − 20. This represents 20% of the original price of the shoes after the discount was applied.
s - (0.2)s
Which of the following is another expression that could be used to get the same result, and what does it represent?
A.
s − 0.2. This represents 0.2% of the original price of the shoes after the discount was applied.
B.
80s. This represents 80% of the original price of the shoes after the discount was applied.
C.
0.8s. This represents 80% of the original price of the shoes after the discount was applied.
D.
s − 20. This represents 20% of the original price of the shoes after the discount was applied.
Answers
GPT-4o mini
To understand the expression Julian used, which is \( s - (0.2)s \), let's simplify and analyze it:
1. **Original Price (s)**: This represents the original price of the shoes.
2. **Discount (0.2s)**: This represents 20% of the original price, which is the amount of the discount.
3. **Final Price after Discount**: The expression simplifies to \( s - 0.2s = 0.8s \). This represents the price of the shoes after the discount has been applied.
Given this understanding, let's analyze the options:
A. **s − 0.2**: This represents the original price minus 0.2, which does not accurately represent the price after a percentage discount of 20%. This is incorrect.
B. **80s**: This represents 80 times the original price, not 80% of the price. This is incorrect.
C. **0.8s**: This represents 80% of the original price of the shoes after the discount was applied. This is correct because it is equivalent to the final price after the 20% discount.
D. **s − 20**: This represents the original price minus 20, which is not a percentage comparison and does not relate to the discount in percentage terms. This is incorrect.
Therefore, the correct answer is:
**C. 0.8s. This represents 80% of the original price of the shoes after the discount was applied.**
1. **Original Price (s)**: This represents the original price of the shoes.
2. **Discount (0.2s)**: This represents 20% of the original price, which is the amount of the discount.
3. **Final Price after Discount**: The expression simplifies to \( s - 0.2s = 0.8s \). This represents the price of the shoes after the discount has been applied.
Given this understanding, let's analyze the options:
A. **s − 0.2**: This represents the original price minus 0.2, which does not accurately represent the price after a percentage discount of 20%. This is incorrect.
B. **80s**: This represents 80 times the original price, not 80% of the price. This is incorrect.
C. **0.8s**: This represents 80% of the original price of the shoes after the discount was applied. This is correct because it is equivalent to the final price after the 20% discount.
D. **s − 20**: This represents the original price minus 20, which is not a percentage comparison and does not relate to the discount in percentage terms. This is incorrect.
Therefore, the correct answer is:
**C. 0.8s. This represents 80% of the original price of the shoes after the discount was applied.**