Question

A population of rabbits doubles every 4 months. If the population starts out with 8 rabbits how many will there be in 1 year

Answer 1

Given:

The initial population of rabbit = 8

Population of rabbits doubles every 4 months.

To find:

The number of population in 1 year.

Solution:

The exponential growth model is

`y=a(b)^x` ...(i)

Where, a is the initial population, b is growth factor, x is time period.

We know that,

12 month = 1 year

So, there are 3 time period of 4 months in an year.

Initial population of rabbit (a) = 8

Population of rabbits doubles every 4 months. So, growth factor is 2, i.e., b=2 and the time period is 3, i.e., x=3.

Putting a=8, b=2, x=3 in (i), we get

`y=8(2)^3`

`y=8(8)`

`y=64`

Therefore, the population of rabbit in 1 year will be 64.