Question
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each set of prices with the correct percent of increase or decrease.
11% decrease
8% increase
8% decrease
8.7% decrease
7.4% increase
12.4% decrease
11% increase
9.9% increase
original price: $12.25
new price: $13.23
arrowRight
original price: $98.00
new price: $108.78
arrowRight
original price: $63.00
new price: $56.07
arrowRight
original price: $37.50
new price: $34.50
arrowRight
Match each set of prices with the correct percent of increase or decrease.
11% decrease
8% increase
8% decrease
8.7% decrease
7.4% increase
12.4% decrease
11% increase
9.9% increase
original price: $12.25
new price: $13.23
arrowRight
original price: $98.00
new price: $108.78
arrowRight
original price: $63.00
new price: $56.07
arrowRight
original price: $37.50
new price: $34.50
arrowRight
Answers
GPT-4o mini
To match the prices with the correct percent of increase or decrease, we can calculate the percentage change for each pair.
1. **Original price: $12.25, New price: $13.23**
- Increase: \( \frac{(13.23 - 12.25)}{12.25} \times 100 \)
- Increase: \( \frac{0.98}{12.25} \approx 0.0800 \times 100 \approx 8.0\% \)
- **Match: 8% increase**
2. **Original price: $98.00, New price: $108.78**
- Increase: \( \frac{(108.78 - 98.00)}{98.00} \times 100 \)
- Increase: \( \frac{10.78}{98.00} \approx 0.1091 \times 100 \approx 10.9\% \)
- **Match: 11% increase**
3. **Original price: $63.00, New price: $56.07**
- Decrease: \( \frac{(63.00 - 56.07)}{63.00} \times 100 \)
- Decrease: \( \frac{6.93}{63.00} \approx 0.1095 \times 100 \approx 10.95\% \)
- **Match: 11% decrease**
4. **Original price: $37.50, New price: $34.50**
- Decrease: \( \frac{(37.50 - 34.50)}{37.50} \times 100 \)
- Decrease: \( \frac{3.00}{37.50} = 0.08 \times 100 = 8.0 \% \)
- **Match: 8% decrease**
Now, associating the pairs we have:
1. **$12.25 to $13.23**: **8% increase**
2. **$98.00 to $108.78**: **11% increase**
3. **$63.00 to $56.07**: **11% decrease**
4. **$37.50 to $34.50**: **8% decrease**
So, the pairs to fill in are:
- **$12.25 to $13.23**: **8% increase**
- **$98.00 to $108.78**: **11% increase**
- **$63.00 to $56.07**: **11% decrease**
- **$37.50 to $34.50**: **8% decrease**
Since there are not enough data points for the percentage changes of 12.4% decrease, 8.7% decrease, 7.4% increase, and 9.9% increase, they are not used in this specific pairing.
1. **Original price: $12.25, New price: $13.23**
- Increase: \( \frac{(13.23 - 12.25)}{12.25} \times 100 \)
- Increase: \( \frac{0.98}{12.25} \approx 0.0800 \times 100 \approx 8.0\% \)
- **Match: 8% increase**
2. **Original price: $98.00, New price: $108.78**
- Increase: \( \frac{(108.78 - 98.00)}{98.00} \times 100 \)
- Increase: \( \frac{10.78}{98.00} \approx 0.1091 \times 100 \approx 10.9\% \)
- **Match: 11% increase**
3. **Original price: $63.00, New price: $56.07**
- Decrease: \( \frac{(63.00 - 56.07)}{63.00} \times 100 \)
- Decrease: \( \frac{6.93}{63.00} \approx 0.1095 \times 100 \approx 10.95\% \)
- **Match: 11% decrease**
4. **Original price: $37.50, New price: $34.50**
- Decrease: \( \frac{(37.50 - 34.50)}{37.50} \times 100 \)
- Decrease: \( \frac{3.00}{37.50} = 0.08 \times 100 = 8.0 \% \)
- **Match: 8% decrease**
Now, associating the pairs we have:
1. **$12.25 to $13.23**: **8% increase**
2. **$98.00 to $108.78**: **11% increase**
3. **$63.00 to $56.07**: **11% decrease**
4. **$37.50 to $34.50**: **8% decrease**
So, the pairs to fill in are:
- **$12.25 to $13.23**: **8% increase**
- **$98.00 to $108.78**: **11% increase**
- **$63.00 to $56.07**: **11% decrease**
- **$37.50 to $34.50**: **8% decrease**
Since there are not enough data points for the percentage changes of 12.4% decrease, 8.7% decrease, 7.4% increase, and 9.9% increase, they are not used in this specific pairing.