Question

A town has an initial population of 75,000 it grows at a constant rate of 3500 per year for eight years find the linear function that models the towns population P as a function of the year T where T is the number of years since the model began

Answer 1

P = 75,000 + 3,500(T) is the linear function where P is the Population and T is the number of years.

75,000 is the initial population and 3,500 is the constant increase per year. These values can be fixed in the equation since it is only the year that is changing.