Question

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. 
*
10 points

A

B

C

D
A

Answer 1

Let's start by calculating the total amount of food the dog eats in one day:

The dog eats 1.25 cups of food twice a day, so:
1.25 cups × 2 = 2.5 cups per day.

Now, let's create a table where \(x\) represents the number of days and \(y\) represents the total cups of food consumed:

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

From this table, we see that for each day, the dog consumes an additional 2.5 cups of food. This represents a linear relationship.

To visualize this relationship on a graph, you would expect:
- The x-axis to represent the number of days.
- The y-axis to represent the total amount of food consumed (in cups).
- Points on the graph would follow the line \(y = 2.5x\), where \(x\) is the number of days and \(y\) is the total cups of food eaten.

With this understanding, you can look for a graph in the options (A, B, C, D) that shows a straight line with a consistent slope, representing the relationship \(y = 2.5x\).

If you need help identifying the correct graph based on this information, please provide the details of options A, B, C, and D, and I can assist you in determining which one correctly represents this relationship!