1. The problem asks to find the unit rate (rate per one unit on the horizontal axis) for each graph.
2. The unit rate formula is $$\text{unit rate} = \frac{\text{change in vertical axis}}{\text{change in horizontal axis}}$$.
3. For Graph 1 (hotdogs eaten vs. minutes):
- Points: (1,1) to (7,7)
- Change in hotdogs = $7 - 1 = 6$
- Change in minutes = $7 - 1 = 6$
- Unit rate = $$\frac{6}{6} = 1$$ hotdog per minute
4. For Graph 2 (dollars earned vs. hours worked):
- Points: (1,10) to (7,70)
- Change in dollars = $70 - 10 = 60$
- Change in hours = $7 - 1 = 6$
- Unit rate = $$\frac{60}{6} = 10$$ dollars per hour
5. For Graph 3 (miles driven vs. hours in car):
- Points: (1,100) to (7,500)
- Change in miles = $500 - 100 = 400$
- Change in hours = $7 - 1 = 6$
- Unit rate = $$\frac{400}{6} = \frac{400}{\cancel{6}} \approx 66.67$$ miles per hour
6. For Graph 4 (pages written vs. days):
- Points: (1,5) to (7,35)
- Change in pages = $35 - 5 = 30$
- Change in days = $7 - 1 = 6$
- Unit rate = $$\frac{30}{6} = 5$$ pages per day
7. Matching unit rates to answer choices:
- Graph 1: 1 (not in choices, closest is B:1.5 but 1 is exact)
- Graph 2: 10 (not in choices)
- Graph 3: approx 66.67 (not in choices)
- Graph 4: 5 (choice H)
Since the problem asks for a 4-letter code and the only exact match is for Graph 4 (H:5), and the others do not match exactly any choice, the best fit is to assign the closest matches:
- Graph 1: 1 (closest B:1.5)
- Graph 2: 10 (closest I:12.5)
- Graph 3: 66.67 (closest E:30 or G:20, but 30 is closer)
- Graph 4: 5 (H)
Therefore, the 4-letter code is BIEH.
Unit Rate Graphs 011C6C
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