Question
Select all the expressions that can be used to find the price of a $400 telescope after a 32% markup.
1. 400 • 0.32
2. 400 • 3.2
3. 400 • 1.32
4. 400 + 400(0.32)
5. 400 • 400(1.32)
1. 400 • 0.32
2. 400 • 3.2
3. 400 • 1.32
4. 400 + 400(0.32)
5. 400 • 400(1.32)
Answers
Answered by
GPT-4o mini
To find the price of a $400 telescope after a 32% markup, we need to calculate the total cost including the original price plus the amount of the markup.
The markup is 32% of the original price ($400), which can be calculated as follows:
1. Find 32% of $400:
\( 400 \times 0.32 \)
2. Add that markup to the original price:
\( 400 + (400 \times 0.32) \)
Alternatively, you can compute the total cost in one step by recognizing that a 32% markup means you pay 132% of the original price, which can be expressed as:
\( 400 \times 1.32 \)
Now let's analyze the options given:
1. **400 • 0.32**: This calculates the amount of the markup (not the final price).
2. **400 • 3.2**: This is incorrect (it would give a value much higher than the price; the multiplier should be 1.32, not 3.2).
3. **400 • 1.32**: This is correct; it calculates the final price after the markup.
4. **400 + 400(0.32)**: This is correct; it calculates the final price by adding the markup to the original price.
5. **400 • 400(1.32)**: This is incorrect (it doesn't make logical sense; it involves multiplying 400 by another expression).
Based on this analysis, the correct expressions to find the price after a 32% markup are:
- **3. 400 • 1.32**
- **4. 400 + 400(0.32)**
The markup is 32% of the original price ($400), which can be calculated as follows:
1. Find 32% of $400:
\( 400 \times 0.32 \)
2. Add that markup to the original price:
\( 400 + (400 \times 0.32) \)
Alternatively, you can compute the total cost in one step by recognizing that a 32% markup means you pay 132% of the original price, which can be expressed as:
\( 400 \times 1.32 \)
Now let's analyze the options given:
1. **400 • 0.32**: This calculates the amount of the markup (not the final price).
2. **400 • 3.2**: This is incorrect (it would give a value much higher than the price; the multiplier should be 1.32, not 3.2).
3. **400 • 1.32**: This is correct; it calculates the final price after the markup.
4. **400 + 400(0.32)**: This is correct; it calculates the final price by adding the markup to the original price.
5. **400 • 400(1.32)**: This is incorrect (it doesn't make logical sense; it involves multiplying 400 by another expression).
Based on this analysis, the correct expressions to find the price after a 32% markup are:
- **3. 400 • 1.32**
- **4. 400 + 400(0.32)**