The fox population in a certain region has a continuous growth rate of 9% per year. It is estimated that the population in the year 2010 was 28400. What will the population be in 2021?

Answer 1

Let we take t = 0 at 2010. Then P = P₀·e^rt, where P₀ =28400 and r = 0.09;

At 2021 t = 2021 - 2010 = 11 years. Because poulation P at 2021 P = 28400e^0.09·

So P= 28400e^{0.09 ·11} = 76431