To analyze the statements, we will first examine the data given in the table:
| Time (hours) | Distance (miles) |
|--------------|------------------|
| 0 | 3 |
| 1 | 4.25 |
| 3 | 6.75 |
### Statement Analysis
1. **Amanda's initial distance from her school is 1.25 miles.**
- From the table, when time = 0 hours, Amanda's distance from school is 3 miles.
- **True or False:** **False**
2. **Amanda's distance increases by 1.25 miles each hour.**
- Calculate the distance increase from time 0 to time 1:
- From 3 miles (at time 0) to 4.25 miles (at time 1):
- Increase = 4.25 - 3 = 1.25 miles.
- Calculate the distance increase from time 1 to time 3:
- From 4.25 miles (at time 1) to 6.75 miles (at time 3):
- Increase = 6.75 - 4.25 = 2.5 miles over 2 hours, which is 1.25 miles per hour.
- Since Amanda increases her distance by 1.25 miles for each hour consistently based on this data:
- **True or False:** **True**
3. **Amanda's distance from school after 4 hours is 9.75 miles.**
- Since her distance increases by 1.25 miles per hour, we can calculate the distance after 4 hours:
- Distance after 0 hours: 3 miles
- After 1 hour: 3 + 1.25 = 4.25 miles
- After 2 hours: 4.25 + 1.25 = 5.5 miles
- After 3 hours: 5.5 + 1.25 = 6.75 miles
- After 4 hours: 6.75 + 1.25 = 8 miles.
- Thus, after 4 hours, Amanda's distance from school is 8 miles, not 9.75 miles.
- **True or False:** **False**
### Summary of Truth Values:
- Amanda's initial distance from her school is 1.25 miles: **False**
- Amanda's distance increases by 1.25 miles each hour: **True**
- Amanda's distance from school after 4 hours is 9.75 miles: **False**