2 The growth in population \(P\) of a certain town after time \(t\) years can be modelled by the equation \(P = 11000 \times 10 ^ { k t }\) where \(k\) is a constant.
- State the initial population of the town.
- After three years the population of the town is 24000 . Use this information to find the value of \(k\) correct to two decimal places.