Asked by liah
Each day Julian gives his dog, Banjo, 3 liters of water and 500 grams of food. Julian wants to track the total amount of the food and water he gives Banjo for one week. Julian plots a point at (3, 500) to represent the first day on a coordinate grid.
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If the axes are (liters of water, grams of food), each day adds (3, 500). After n days the total is (3n, 500n). For the 7 days the plotted points are:
- Day 1: (3, 500)
- Day 2: (6, 1000)
- Day 3: (9, 1500)
- Day 4: (12, 2000)
- Day 5: (15, 2500)
- Day 6: (18, 3000)
- Day 7: (21, 3500)
So in one week Julian gives Banjo 21 liters of water and 3500 grams of food. These points lie on the line y = (500/3)x (through the origin).
- Day 1: (3, 500)
- Day 2: (6, 1000)
- Day 3: (9, 1500)
- Day 4: (12, 2000)
- Day 5: (15, 2500)
- Day 6: (18, 3000)
- Day 7: (21, 3500)
So in one week Julian gives Banjo 21 liters of water and 3500 grams of food. These points lie on the line y = (500/3)x (through the origin).
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