Question

A boarding kennel mixes dry dog food and wet dog food to feed the dogs. The table shows the mixture for different amounts

(a) Is the relationship between the amount of dry dog food and the amount of wet dog food proportional? (Use the first three rows of data to answer this question.) Show your work and explain.

(b)How much dry dog food is used with 2.3 oz of wet dog food? Show your work.

Answer 1

(a) To determine if the relationship between the amount of dry dog food and the amount of wet dog food is proportional, we can check if the ratio of dry to wet food remains constant. Using the first three rows of data:

1 oz dry : 1 oz wet

2 oz dry : 2 oz wet

3 oz dry : 3 oz wet

We can see that the ratio of dry to wet food is always 1:1, which means the relationship is proportional.

(b) To find out how much dry dog food is used with 2.3 oz of wet dog food, we can use the proportion we found in (a) which is 1:1.

so 2.3 oz of wet food would require 2.3 oz of dry food.

Explanation: