To answer the questions accurately, I need to see the data from the table that shows the gallons of fuel remaining after a car travels certain distances. However, I'll provide a general method for determining the answers based on a hypothetical example.
### Example Data Table:
| Distance (miles) | Fuel Remaining (gallons) |
|------------------|--------------------------|
| 0 | 10 |
| 50 | 9 |
| 100 | 8 |
| 150 | 7 |
### Step-by-Step Solution:
1. **Change in fuel remaining from one row to the next:**
- For each step, subtract the fuel remaining of the next row from the current row.
- Example:
- From 0 to 50 miles: \(10 - 9 = 1\) gallon
- From 50 to 100 miles: \(9 - 8 = 1\) gallon
- From 100 to 150 miles: \(8 - 7 = 1\) gallon
- The change in fuel remaining from one row to the next is **1 gallon**.
2. **Change in distance from one row to the next:**
- Subtract the distance of the current row from the distance of the next row.
- Example:
- From 0 to 50 miles: \(50 - 0 = 50\) miles
- From 50 to 100 miles: \(100 - 50 = 50\) miles
- From 100 to 150 miles: \(150 - 100 = 50\) miles
- The change in distance from one row to the next is **50 miles**.
3. **Slope of the line that runs through the points given in the table:**
- Slope (m) is calculated by \(\frac{\text{change in fuel}}{\text{change in distance}}\).
- Using the values:
- Slope \( m = \frac{-1 \text{ gallon}}{50 \text{ miles}} = -\frac{1}{50} \text{ gallons per mile}\).
4. **The slope indicates a:**
- A negative slope indicates that for every mile the car travels, it consumes fuel.
- Specifically, the slope \(-\frac{1}{50}\) indicates the car consumes \(\frac{1}{50}\) gallons per mile, which is equivalent to **0.02 gallons per mile**.
- Thus, the slope indicates a **decrease** in fuel remaining as the distance traveled increases.
### Final Answers:
- The change in fuel remaining from one row to the next in the table is **1 gallon(s)**.
- The change in distance from one row to the next in the table is **50 mile(s)**.
- The slope of the line that runs through the points given in the table is **-1/50 or -0.02**.
- The slope indicates a **decrease in fuel** remaining per mile traveled.
The table shows the gallons of fuel remaining after a car travels a certain distance in miles.
The change in fuel remaining from one row to the next in the table is
gallon(s).
The change in distance from one row to the next in the table is
mile(s).
The slope of the line that runs through the points given in the table is
.
The slope indicates a
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