The local zoo has two water tanks for the elephant exhibit that are leaking One water tank contains 12 gal of water and is leaking at a constant rate of 3 gal/h. The second water tank contains 8 gal of water and is leaking at a constant rate of 5 gal/h. When will the two tanks have the same amount of water? Explain. Let x = the number of hours the tanks are filling and let y = the number of gallons in the tank.

Question

anonymous · Answer

A. In 2 hours, because the solution to the system is (2,18). 	
B. They will never have the same amount of water because the solution to the system is (–2,18). It is not possible to have time be –2 hours. 	
C. In –2 hours, because the solution to the system is (–2,18). 	
D. They will never have the same amount of water because the solution to the system is (–2,18). It is not possible to have –2 gallons in the tanks.

anonymous · Answer

It is never. For the two water tanks to have the same amount of water, time would have to go backwards which is not possible. The one with less water has a faster leaking rate so it will always have less water. The answer is B