The local zoo is filling two water tanks for the elephant exhibit. One water tank contains 34 gal of water and is filled at a constant rate of 4 gal/h. The second water tank contains 30 gal of water and is filled at a constant rate of 2 gal/h. Explain. Let x = the number of hours the tanks are filling and let y = the number of gallons in the tank. What are the constraints on the system?
A. both x>= 0, y>=0
B. x>=0 only
C. y>=0 only
D. There are no constraints on the system.
Thank you! :D
steve can you take a look at my question pretty please?
There are no constraints on the system.
Which one is it? A or D?
To answer this question, let's consider the constraints on the system.
For the number of hours, x, it must be greater than or equal to 0. This is because time cannot be negative; it only progresses forward.
For the number of gallons in the tank, y, it must also be greater than or equal to 0. The amount of water in a tank cannot be negative, and it starts with some initial amount (either 34 gal or 30 gal).
Therefore, the constraints on the system are that both x and y must be greater than or equal to 0.
So, the correct answer is A. both x >= 0, y >= 0.