A housing developer uses the number of new residents in a community to decide when to plan a new construction project. The following table shows the county registrar’s records of new residents over a period of five years. Year 1995 1996 1997 1998 1999 New Residents 127 147 173 196 232 a. Find an exponential function for the data as a function of x years since 1995. b. Write the equation from part a in terms of base e. c. Estimate when the number of new residents will exceed 400 per year.