Question Water is flowing into a tank at a rate of 5 litres per minute. At the

Question

Transcribed Image Text:

Water is flowing into a tank at a rate of 5 litres per minute. At the same time water flows out of the tank at a rate of k litres per minute. The volume (in litres) of water in the tank at time t (in minutes) is given by the formula V(t) = 100 - 4t. 11.1 11.2 11.3 What is the initial volume of the water in the tank? Write down TWO different expressions for the rate of change of the volume of water in the tank. Determine the value of k (that is, the rate at which water flows out of the tank). Water is flowing into a tank at a rate of 5 litres per minute. At the same time water flows out of the tank at a rate of k litres per minute. The volume (in litres) of water in the tank at time t (in minutes) is given by the formula V(t) = 100 - 4t. 11.1 11.2 11.3 What is the initial volume of the water in the tank? Write down TWO different expressions for the rate of change of the volume of water in the tank. Determine the value of k (that is, the rate at which water flows out of the tank).