Start with determining the appropriate value for t (the number of years from 1988). We are looking to calculate the function for the year 2031, so t = 2031-1988 = 43. Then plug that into the formula:
[tex]3000e^{0.0037t}=3000e^{0.0037\cdot 43}\approx3517[/tex]
to get the projected population of the rural city of 3517
