To find out how many cups of dog food the dog eats in one day, we need to calculate the total food consumption based on the provided information.
The dog eats 1.25 cups twice a day. Thus, the daily consumption can be calculated as follows:
\[ \text{Daily consumption} = 1.25 \text{ cups} \times 2 = 2.5 \text{ cups} \]
Now that we know the dog eats 2.5 cups in a day, we can create a table where \(x\) represents the number of days, and \(y\) represents the number of cups of dog food consumed.
Here's how the table looks for the first few days:
| Days (x) | Cups of food (y) | |----------|-------------------| | 0 | 0 | | 1 | 2.5 | | 2 | 5.0 | | 3 | 7.5 | | 4 | 10.0 | | 5 | 12.5 |
From this table, we see that the relationship between the number of days and the cups of dog food consumed is linear. For every additional day, the dog consumes an additional 2.5 cups of food.
The equation describing this linear relationship would be:
\[ y = 2.5x \]
where \(y\) is the total number of cups of food consumed after \(x\) days.
In a graph of this relationship, you would expect to see a straight line that starts at the origin (0,0) and has a slope of 2.5, indicating the linear increase in food consumption as the days increase. The graph would pass through (1, 2.5), (2, 5.0), (3, 7.5), etc., showing that with each passing day, the total cups of dog food increases by 2.5.
Make sure to select a graph that shows this linear relationship!
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