Question

In an effort to control vegetation overgrowth, 108 rabbits are released in an isolated area free of predators. After 2 years, it is estimated that the rabbit population has increased to 972. Assuming exponential population growth, what will the population be after another 9 months

Answer 1

246

Step-by-step explanation:

Increased amount / current population = 972

Amount released = 108

time(t) = 2years

Using the exponential growth function :

f(t) = A*g^t

Where g = growth rate

To obtain the growth rate = g

972 = 108 * g^2

g^2 = 972 / 108

g^2 = 9

g = 3

To determine population after 9 months :

9 months to years = (9/12) = 0.75

t = 0.75

f(0.75) = 108*(3^0.75)

f(0.75) = 108 * 2.2795070

f(0.75) = 246.18676

= 246