Answer: 5/2 liters (or 2.5 liters) of juice were in the jar to start.
The jar was filled at a rate of 5 minutes.
Step-by-step explanation: Firstly, rearrange the equation so that y = mx + b. If you move the x over, you get -2y = -3x -5. To get rid of the -2 in front of the y, divide both sides by -2. Then you get y = 3/2x + 5/2.
The amount of juice in the jar initially is b, also known as the y-intercept.
If you look at the equation, you see that 5/2 is our y-intercept which means the jar initially had 5/2 liters of juice at the start (this is the same as 2.5 liters because 5 divided by 2 is 2.5).
To find the rate at which the jar was filled, you need to solve for x. Plug in the 10 liters for the y and solve.
y = 3/2x + 5/2
10 = 3/2x + 5/2
Now, subtract 5/2 from both sides.
7.5 = 3/2x
Divided both sides by 3/2 to get x alone, which will give you the number of minutes in which the jar was filled.
5 = x
The jar was filled at a rate of 5 minutes.
