A new town was built 10 years ago to house the workers of a woollen mill established in a remote country area. 3 years after the town was built, it had a population of 12000 people. Business in the wool trade steadily grew, and 8 years after the town was built the population had swelled to 19240.

a) Assuming the population growth can be modelled by a linear relationship, find a suitable relation for the population, p, in terms of t, the number of years since the town was built.

b) Find the current population of the town.

c) Calculate the average rate of growth of the town.

Thanks in advance guys.