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The question presents a scenario involving two graphs:

1. **Filling the tank:** The water tank of the truck is filled at a rate of 100 gallons per minute, with a maximum capacity of 2200 gallons. The given graph represents this scenario, where the slope is positive (increasing) since the truck is gaining water over time.

2. **Spraying the water:** After filling, the truck sprays water at a rate of 120 gallons per minute. The second graph, not shown, would represent the tank losing water, so its slope would be negative (decreasing).

Let's analyze the given answer choices to describe the difference between the two graphs:

1. **"The slope is more steep and decreasing instead of increasing. The y-intercept changes from 0 gallons to 2200 gallons."**
   - Correct. The slope for the spraying graph is steeper (because the truck sprays faster at 120 gallons per minute compared to filling at 100 gallons per minute) and it decreases (since the truck is losing water). The y-intercept for the spraying graph would start at 2200 gallons, as the tank begins full.

2. **"The slope has the same steepness but is decreasing. The y-intercept stays the same."**
   - Incorrect. The slopes have different steepness (100 gallons/min filling vs. 120 gallons/min spraying). Also, the y-intercept changes (2200 gallons in the spraying graph).

3. **"The slope is less steep and decreasing instead of increasing. The y-intercept changes from 0 gallons to 2200 gallons."**
   - Incorrect. The spraying slope is steeper, not less steep.

4. **"The slope is less steep but is still increasing. The y-intercept stays the same."**
   - Incorrect. The slope in the spraying graph is decreasing, not increasing, and the y-intercept does change.

The correct answer is **Option 1**, as it accurately describes the steeper negative slope for the spraying graph and the y-intercept starting at 2200 gallons.

Would you like more details on any part of this explanation?

### 5 Related Questions:
1. What would happen if the truck sprayed water at 100 gallons per minute instead of 120 gallons?
2. How would the graph look if the tank started with less than 2200 gallons of water?
3. Can you calculate how long it takes for the tank to completely empty while spraying?
4. What is the equation for each graph (filling and spraying) in slope-intercept form?
5. How does the rate of change affect the steepness of the slope in a graph?

**Tip:** Always pay attention to the units of the rate (gallons per minute here), as they are key in determining the steepness of the slope.

Which statement describes the difference between the two graphs?

Analyze the difference in slopes between two graphs where a construction truck tank fills at 100 gallons per minute and sprays water at 120 gallons per minute. Explore slope-intercept forms and compare steepness and y-intercepts. Suitable for students in Grades 7-9.

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