2. A town's population has been growing linearly. On January 1, 2004 the population
was 6,200. By July 1, 2009 the population had grown to 8,100. Assume this trend
continues.
(a) The town's population is a function of time, and a coordinate on the graph of the
function can be written in the form \((t, P)\), where \(t\) is the number of years since
January 1, 2004 and \(P\) is the population at the given time. From the statement
above determine two points that will be on the graph of the function.
(b) Use the points to determine a linear model for this data.
(c) Interpret the meaning of the slope in this context.