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?

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

Step-by-step 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.

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.