A species of turtles is released into a wetland in 2000. Five years later a biologist estimates there are 350 turtles in the wetland. Two years after that the biologist estimates there are 550 turtles. Let P represent the size of the turtle population in year t.

1. Assuming the turtle population grows exponentially, find a formula for P(x). show work. Round parameters to 4 decimal places.
2. What is the annual percent increase for the model found above? Round to 4 decimal places.
3. What is the relative rate of increase for the model found above? Round to 4 decimal places.