To determine the pattern of points Julian plots for the total amount of food and water he gives Banjo over the course of a week, we start with the initial point that he plotted for the first day, which is (3, 500).
Each day:
- Julian gives Banjo 3 liters of water.
- Julian gives Banjo 500 grams of food.
For the x-coordinate:
- The x-coordinate represents the total amount of water given in liters. Since he gives 3 liters of water each day, after one week (7 days), the total water given will be:
- Day 1: 3 L
- Day 2: 3 L + 3 L = 6 L
- Day 3: 3 L + 3 L + 3 L = 9 L
- Day 4: 3 L + 3 L + 3 L + 3 L = 12 L
- Day 5: 3 L + 3 L + 3 L + 3 L + 3 L = 15 L
- Day 6: 3 L + 3 L + 3 L + 3 L + 3 L + 3 L = 18 L
- Day 7: 3 L + 3 L + 3 L + 3 L + 3 L + 3 L + 3 L = 21 L
This implies that each day, the x-coordinate increases by 3 liters.
For the y-coordinate:
- The y-coordinate represents the total amount of food given in grams. Since he gives 500 grams of food each day, after one week (7 days), the total food given will be:
- Day 1: 500 g
- Day 2: 500 g + 500 g = 1000 g
- Day 3: 500 g + 500 g + 500 g = 1500 g
- Day 4: 500 g + 500 g + 500 g + 500 g = 2000 g
- Day 5: 500 g + 500 g + 500 g + 500 g + 500 g = 2500 g
- Day 6: 500 g + 500 g + 500 g + 500 g + 500 g + 500 g = 3000 g
- Day 7: 500 g + 500 g + 500 g + 500 g + 500 g + 500 g + 500 g = 3500 g
This implies that each day, the y-coordinate increases by 500 grams.
To summarize:
- Each day, the x-coordinate increases by 3.
- Each day, the y-coordinate increases by 500.
Thus, the pattern is:
- Each day the X coordinate increases by: 3
- Each day the Y coordinate increases by: 500
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