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.
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.
Answers
GPT-4o mini
To find an equivalent expression for Terrance's calculation for the final price of the hat after a 30% discount, we can analyze his expression:
Terrance's expression is:
\[ 20 - (20 \times 0.3) \]
This represents the original price of the hat ($20) minus the discount amount, which is 30% of $20 (expressed as \(20 \times 0.3\)).
Now let’s rewrite this:
1. Calculate the discount:
\[ 20 \times 0.3 = 6 \]
2. Subtract the discount from the original price:
\[ 20 - 6 = 14 \]
Now let's look for an equivalent expression to \( 20 - (20 \times 0.3) \):
1. **A.** \( 20 - 0.7 \)
- This does not represent a correct computation, as it doesn't include a proper discount calculation.
2. **B.** \( 0.3(20) \)
- This represents the amount of the discount (which is $6), but it does not calculate the final price.
3. **C.** \( 20 - 0.3 \)
- This also does not represent a discount calculation. It subtracts 0.3 not the amount of the discount.
4. **D.** (Another option would be expected here, but it's missing)
Given the options you provided, none of them are equivalent to \( 20 - (20 \times 0.3) = 20 - 6 = 14 \), which is the final price.
Thus, if you have a different option D, it could potentially clarify what the correct answer is. Based on what is presented, none of the given options yield an equivalent expression for the final price after the discount.
Terrance's expression is:
\[ 20 - (20 \times 0.3) \]
This represents the original price of the hat ($20) minus the discount amount, which is 30% of $20 (expressed as \(20 \times 0.3\)).
Now let’s rewrite this:
1. Calculate the discount:
\[ 20 \times 0.3 = 6 \]
2. Subtract the discount from the original price:
\[ 20 - 6 = 14 \]
Now let's look for an equivalent expression to \( 20 - (20 \times 0.3) \):
1. **A.** \( 20 - 0.7 \)
- This does not represent a correct computation, as it doesn't include a proper discount calculation.
2. **B.** \( 0.3(20) \)
- This represents the amount of the discount (which is $6), but it does not calculate the final price.
3. **C.** \( 20 - 0.3 \)
- This also does not represent a discount calculation. It subtracts 0.3 not the amount of the discount.
4. **D.** (Another option would be expected here, but it's missing)
Given the options you provided, none of them are equivalent to \( 20 - (20 \times 0.3) = 20 - 6 = 14 \), which is the final price.
Thus, if you have a different option D, it could potentially clarify what the correct answer is. Based on what is presented, none of the given options yield an equivalent expression for the final price after the discount.