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Functions and Their Properties · Paper 2 — Free Maths AA SL Practice Questions

1MasterySAQ-SDefinition and types of functions (one-to-one, onto etc.)s6 marksPaper 2~9 min
A company designs a water tank. The volume of water in the tank, VV litres, at time tt hours after filling begins is modelled by V(t)=2000−1000e−0.2t,t≥0.V(t) = 2000 - 1000e^{-0.2t}, \quad t \geq 0.
(a)
Determine the range of VV. [2 marks]
(b)
The tank is considered full when the volume reaches 19001900 litres. Find the exact time, in hours, for the tank to become full, giving your answer in the form aln⁡ba\ln b where a,b∈Q+a, b \in \mathbb{Q}^+. [2 marks]
(c)
Hence state the time for the tank to become full, correct to the nearest minute. [2 marks]
diagram

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