A dog eats 1.25 cups of dog food twice a day. Which graph best represents this relationship?

HINT: First find out how many cups of food the dog eats in 1 full day. Then make your own table using this information, where x is the number of days and y is the number of cups of food.
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10 points

A

B

C

D

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
13 days ago

To determine how many cups of food the dog eats in one full day, we can calculate as follows:

- The dog eats 1.25 cups of food twice a day.
- So, in one day, the dog eats:
\( 1.25 \text{ cups} \times 2 \text{ times} = 2.5 \text{ cups} \)

Now, let's create a table based on this information where \( x \) is the number of days and \( y \) is the total number of cups of food consumed in those days:

| Days (x) | Cups of Food (y) |
|----------|-------------------|
| 1 | 2.5 |
| 2 | 5.0 |
| 3 | 7.5 |
| 4 | 10.0 |
| 5 | 12.5 |

We can see that the relationship is linear, as for every additional day (x), the number of cups of food (y) increases by 2.5 cups.

Now, to choose the best graph that represents this relationship:

1. The y-axis should represent the total cups of food consumed.
2. The x-axis should represent the number of days.
3. The graph should show a straight line with a positive slope.

Look for a graph with:
- A straight line that starts at the origin (or near it).
- The slope indicating that for each day, the cups of food increase by 2.5.

Without the graph options available here, check for these characteristics in the options A, B, C, or D to identify the one that matches this pattern.