Question

Alana wants to share her homemade potpourri with her friends. After making a large batch, she distributes it into small gift bags. The amount of potpourri left depends on how many bags she fills. There is a linear relationship between the number of bags Alana makes, and the amount of potpourri left, in cups. 1 2 3 4 5 6 7 8 9 10 2 4 6 8 10 12 14 16 18 20 x y Number of bags Amount of potpourri left (cups) Describe the rate of change for this relationship. The amount of potpourri left increases decreases by 1 2 of a cup 1cup 2cup 3 cups 18 cups 20 cups per bag.

Answer 1

To describe the rate of change for this relationship, we can look at the given data where the number of bags (x) and the amount of potpourri left (y) are represented as follows:

- When x = 1, y = 2
- When x = 2, y = 4
- When x = 3, y = 6
- When x = 4, y = 8
- When x = 5, y = 10
- When x = 6, y = 12
- When x = 7, y = 14
- When x = 8, y = 16
- When x = 9, y = 18
- When x = 10, y = 20

From the data, we can see that for each additional bag made (increasing x by 1), the amount of potpourri left (y) increases by 2 cups.

Thus, the rate of change for this linear relationship is:

**The amount of potpourri left increases by 2 cups per bag.**