Answer:
(a) To determine if the relationship between the amount of dry dog food and the amount of wet dog food is proportional, we need to check if the ratio of dry dog food to wet dog food remains constant.
For the first three rows of data:
- When 4.5 cups of dry dog food are used, 1.5 oz of wet dog food is used. The ratio is 4.5/1.5 = 3.
- When 6 cups of dry dog food are used, 2 oz of wet dog food is used. The ratio is 6/2 = 3.
- When 9 cups of dry dog food are used, 3 oz of wet dog food is used. The ratio is 9/3 = 3.
Since the ratio of dry dog food to wet dog food is constant at 3 for the first three rows of data, the relationship between the amount of dry dog food and the amount of wet dog food is proportional.
(b) To find out how much dry dog food is used with 5.5 oz of wet dog food, we can set up a proportion using the ratios from the data:
x/5.5 = 4.5/1.5
x = (4.5/1.5) * 5.5
x = 16.5
Therefore, 16.5 cups of dry dog food are used with 5.5 oz of wet dog food.
