Asked by Hannah
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.
I see that the population increases 26% over each 25-year period but I can't figure out the equation.
Answers
Answered by
Reiny
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
(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
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.