Question: A tank continuously drains so that the volume V of water (in gallons) remaining in the tank after t minutes is V(t) = 100(1-((t)/20))
a) What is the domain of V(t)by the context of the problem? What is the range?
- Domain: [0, 20], Range: [0, 100]
- Domain: [0, 100], Range: [0, 20]
- Domain: [100, ?], Range: [20, ?]
- Domain: [20, ?], Range: [100, ?]
- Domain: [0, 100], Range: [0, 100]
(b) What is implied about the physical nature of the problem that ensures V(t) is one-to-one on its domain? Find the inverse function. (Enter V(t) as just V.)
(c) What is V-1(4)?