A population is 200 in the year 1825, 252 in 1850, and 318 in 1875. What is the p(t) equation?
I see that the population increases 26% over each 25-year period but I can't figure out the equation.
treat it as if you are given 3 ordered pairs,
(1825, 200) , (1850, 252) and (1875,318)
Since the slope between pairs of points is not the same, the relation is non-linear
I see it as something like
P(t) = 200(1.26)^(t/25), where t is the number of years after 1825
check:
in 1850, t = 25
P(25) = 200(1.26)^(25/25) = 252
in 1875, t = 50
P(50) = 200(126)^(50/25) = 200(1.26)^2 = 317.52 or 318