How to determine an exponential function for this problem.

Question

the population of deer in a region has a maximum value of 300 due to resources and predators. in 2014, the population of deer is 220 and increases in subsequent years to a level of 255 in 2016. determine an exponential function that models this pattern.

Answer 1

220 in 2014, 255 in 2016

find the exponential formula

255=220(x^2)

255/220= x^2

51/44= x^.5

x= (51/44)^.5= about 1.0766

d= 220(1.0766)^t

= deer pop after t years since 2014

but t has a limit of about 4.2 = 2018 or 2019 when d = 300