A biologist studying a population of geckos for several years found that the population can be modeled as where P is the population, and t is in the time in years. P= 230( 1.04)^t . What is the growth rate of this population?

1 Answer
Feb 28, 2017

Annual growth is 4 %.

Explanation:

Take your growth equation and plug some numbers in: P= 230( 1.04)^t

  • t = 0, P = 230(1.04)^0 = 230

  • t = 1, P = 230(1.04)^1 = 230(1.04)

  • t = 2, P = 230(1.04)^1 = 230(1.04)^2

You should see that there annual growth is by a factor of 1.04 equiv 104"%"

So annual growth is 4 %.