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To determine which jeep uses more gasoline per mile, we need to calculate the rate of gasoline consumption for both Henry and Mike. This rate can be found by determining the slope of the line for each person’s jeep in the graph, where the slope represents the change in the amount of gasoline (y-axis) over the change in distance (x-axis).

1. **Henry's Gasoline Consumption:**
   - Initial amount of gasoline: 6 gallons (at 0 miles).
   - At 120 miles, the gasoline is reduced to 0 gallons.
   - The slope (rate of gasoline use) is calculated as:
     \[
     \text{Slope for Henry} = \frac{\text{Change in gasoline}}{\text{Change in distance}} = \frac{6 - 0}{0 - 120} = \frac{6}{120} = 0.05
     \]
   So, Henry's jeep uses 0.05 gallons per mile.

2. **Mike's Gasoline Consumption:**
   - Initial amount of gasoline: 4 gallons (at 0 miles).
   - At 80 miles, the gasoline is reduced to 0 gallons.
   - The slope (rate of gasoline use) is calculated as:
     \[
     \text{Slope for Mike} = \frac{4 - 0}{0 - 80} = \frac{4}{80} = 0.05
     \]
   So, Mike's jeep uses 0.05 gallons per mile.

**Conclusion:**
Both Henry and Mike's jeeps consume the same amount of gasoline per mile, which is 0.05 gallons per mile.

Would you like a more detailed explanation or have any further questions?

### Follow-up Questions:
1. What is the significance of the slope in a distance-gasoline graph?
2. How can we calculate fuel efficiency if given distance and fuel used?
3. How does the initial amount of fuel affect the total distance traveled?
4. If one jeep started with more fuel, would it necessarily mean it is more efficient?
5. How would we represent an increasing fuel consumption rate graphically?

**Tip:** When interpreting graphs, always look at the axes to understand what quantities are being compared, and calculate slopes for rates of change.

Determine which person's jeep is using more gasoline per mile. Explain.

Analyze the gasoline consumption of Henry and Mike's jeeps using slope calculations to determine who consumes more fuel per mile. This problem demonstrates how to interpret rates of change in linear functions, using key concepts like slope and rate of change. Ideal for Grades 8-10.

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