Question

An empty 6-gal water jug weighs 0.5 lb. With 3 c of water inside, the jug weighs 2 lb. Which equation models the jug’s weight y when it contains x cups of water?

Answer 1

J = jug
J = 0.5x + 0.5

Answer 2

The equation can be modeled be : y = 0.5 + 0.5 × x

Explanation:

Weight of empty 6-gal water jug = 0.5 lb

After filling 3 cups of water inside, the weight of jug becomes 2 lb

So, increased weight after filling 3 cups of water = 1.5 lb

So, weight of 1 cup of water = 0.5 lb

Now, weight of the jug be y and water filled be x cups

Hence, The equation can be modeled be :

y = 0.5 + 0.5 × x

Thus, this is our required equation.