The fox pop. In one region has an annual growth of 11%. In 2012 there were 24,100 foxes. What is the fox pop. prediction for 2019?

Answer 1

Since the annual growth is 11% the fox population is (1+0.11) = 1.11 times the value of the previous year.

In 2012 there were 24,100 foxes.

One year later, In 2013 there would be 24,100 * 1.11 foxes.

Two years later, In 2014 there would be 24,100 * 1.11 * 1.11 foxes or 24,100* 1.11^2 foxes.

Seven years later, In 2019, there would be 24,100 * 1.11^7 foxes = 50,035.46 ~ 50,035

Answer 2

The law of exponential growth for this problem is

p(t) = 24,100 (1.11)^t

t = years elapsed since since 2012

Plug in t=(2019-2012) and evaluate p(t) to finish from here.