To find out how many cups of food the dog eats in one full day, we can start with the information given. The dog eats 1.25 cups of food two times a day:
\[ \text{Daily Food Intake} = 1.25 , \text{cups} \times 2 = 2.5 , \text{cups per day} \]
Now we can create a table that represents the relationship between the number of days (x) and the total number of cups of food consumed (y). We will calculate the total cups of food for a few days.
Table of Cups of Food
| Days (x) | Cups of Food (y) | |----------|-------------------| | 1 | 2.5 | | 2 | 5.0 | | 3 | 7.5 | | 4 | 10.0 | | 5 | 12.5 |
Explanation of the Table
- For 1 day: The dog eats 2.5 cups.
- For 2 days: The dog eats \(2 \times 2.5 = 5.0\) cups.
- For 3 days: The dog eats \(3 \times 2.5 = 7.5\) cups.
- For 4 days: The dog eats \(4 \times 2.5 = 10.0\) cups.
- For 5 days: The dog eats \(5 \times 2.5 = 12.5\) cups.
Graph Representation
When you plot this data on a graph with the x-axis representing the number of days (x) and the y-axis representing the cups of food (y), you will see a linear relationship. The slope of the line will be \(2.5\), indicating that for every day, the dog consumes an additional 2.5 cups of food.
A line graph connecting these points will visually represent the linear relationship, with the points plotted at (1, 2.5), (2, 5.0), (3, 7.5), (4, 10.0), and (5, 12.5). The line would continue in both directions based on the established relationship.
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