Subjects algebra

Unit Rate Graphs 011C6C

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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.