Lena has been offered a job with two salary options. The first option is modeled by the function [math]f(x) = 500x + 31,000[/math], where [math]f(x)[/math] is her salary in dollars after [math]x[/math] years. The second option is represented by the function [math]g(x) = 29,000(1.04)^x[/math], where [math]g(x)[/math] is her salary in dollars after [math]x[/math] years. If Lena is hoping to keep this position for at least 5 years, which salary option should she choose? Support your answer with a graph.
[list=1] [*]Make a general observation. [*]Graph both functions on the same coordinate plane. [*]Identify the approximate point where [math]g(x)[/math] is greater than [math]f(x)[/math]. [/list]