Question

0/1 Autumn's dog eats the same amount of dog food every day. On day 3, the bag of dog food has 12 pounds of dog food. On day 7, the bag has 10 pounds of dog food. Write an equation that represents the amount of dog food in the bag, y, for any day after opening the bag of dog food, x. Show your work.

Answer 1

y - 0.5x

Explanation:

Given that the dog eats the same amount of food each day and on day 3, the available quantity of food

= 12 pounds

On day 7 (4 days after), the available quantity of food is 10 pounds. The difference in the amount of food in 4 days

= 12 - 10

= 2 pounds

This means that each day, the amount of food eaten by the dog in one day

= 2/4

= 0.5 pound

Hence the amount of dog food in the bag y for any day after opening the dog food x will be given as

= y - 0.5x