The population survey, in 2016, of a small beach community in South Carolina was approximately 3,500. The population has been increasing at a rate of about 17% per year. The function LaTeX: g\left(t\right)=3,500\left(1.17\rig ht)^tg ( t ) = 3 , 500 ( 1.17 ) t can be used to model this growth over time, t, in years.