Question : A tap is dripping at a constant rate into a container. The level L cm of the water in the container is given by the equation L = $2-2^t$, where t is the time taken in hours. What is the level of water in the container at the start?
Option 1: 0 cm
Option 2: 1 cm
Option 3: 2 cm
Option 4: 4 cm
Correct Answer: 1 cm
Solution : Given: A tap is dripping at a constant rate into a container. The level L cm of the water in the container is given by the equation, L = $2-2^t$ At the beginning, time will be zero, i.e., t = 0 L = $2-2^t$ = $2-2^0$ = 2 – 1 = 1 cm The level of water in the container at the start is 1 cm. Hence, the correct answer is 1 cm.
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