An empty 5 gallon water jug weighs 0.75 lbs. with 3 cups of water inside, the jug weighs 2.25 lbs. what equation models the jug's weight y when it contains x cups of water?

jugs weight ⇒ y = 0.75 + 0.5 x

Step-by-step explanation:

Hi, to solve this problem we have to analize the information given.

So:

Empty jug weight = 0.75 lbs

jug with 3 cups of water weight =2.25

The next step is to subtract the weight of the empty jug to the weight of the jug with 3 cups.

2.25 -0.75= 1.5 lbs

We have calculated the weight of 3 cups of water. To calculate the weight of one cup we simply divide the result by 3.

1.5 /3 = 0.5 lbs ( 1 cup)

Finally, we have the information needed for the equation. It wiil be the weight of the empty jug plus the weight of one cup of water multiplied by x.

jugs weight (y) = 0.75 + 0.5 x

Feel free to ask for more if it´s necessary or if you did not understand something

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: