Question
Terrance used this expression to find the final price, in dollars, of a hat that is discounted 30% off the original price of $20.
20−(20×0.3)
Which of the following is an equivalent expression?
A.
20−0.7
B.
0.3(20)
C.
20−0.3
D. 0.7[20]
20−(20×0.3)
Which of the following is an equivalent expression?
A.
20−0.7
B.
0.3(20)
C.
20−0.3
D. 0.7[20]
Answers
GPT-4o mini
To find an equivalent expression to Terrance's calculation for the final price of the hat, we can simplify his expression.
Terrance's expression is:
\[ 20 - (20 \times 0.3) \]
Calculating \( 20 \times 0.3 \):
\[ 20 \times 0.3 = 6 \]
So we can rewrite the expression:
\[ 20 - 6 = 14 \]
Now let's analyze the answer choices:
A. \( 20 - 0.7 \)
This simplifies to \( 19.3 \), which is not equivalent.
B. \( 0.3(20) \)
This simplifies to \( 6 \), which is not equivalent.
C. \( 20 - 0.3 \)
This simplifies to \( 19.7 \), which is not equivalent.
D. \( 0.7[20] \)
This simplifies to \( 0.7 \times 20 = 14 \), which is equivalent to Terrance's final price.
Thus, the correct answer is:
**D. \( 0.7[20] \)**
Terrance's expression is:
\[ 20 - (20 \times 0.3) \]
Calculating \( 20 \times 0.3 \):
\[ 20 \times 0.3 = 6 \]
So we can rewrite the expression:
\[ 20 - 6 = 14 \]
Now let's analyze the answer choices:
A. \( 20 - 0.7 \)
This simplifies to \( 19.3 \), which is not equivalent.
B. \( 0.3(20) \)
This simplifies to \( 6 \), which is not equivalent.
C. \( 20 - 0.3 \)
This simplifies to \( 19.7 \), which is not equivalent.
D. \( 0.7[20] \)
This simplifies to \( 0.7 \times 20 = 14 \), which is equivalent to Terrance's final price.
Thus, the correct answer is:
**D. \( 0.7[20] \)**