Question

The population of rabbits on an island is growing exponentially. In the year 2000, the

population of rabbits was 220, and by 2004 the population had grown to 350. Predict
the population of rabbits in the year 2011, to the nearest whole number.

Answer 1

Explanation:

630

Answer 2

789 to nearest whole number.

Explanation:

In 4 years its increased from 220 to 350.

350 = 220(e)^4k where k is some constant.

e^4k = 350/220

4k = ln (350/220) = 0.4643

k = 0.1161

The equation of growth is therefore

P = 220e^0.1161t)

So in 2011 ( t = 11 years) the

Population = 220 * e^(11*0.1161)

= 789.