Apopulation of rabbits triples every 2 months if there are 2 rabbits initially, how long will it take for the population to increase to 500 rabbits? round your answer to the nearest whole number (5 marks)

The rabbit population will reach 500 after 10 months.

Explanation:

According to the given data:

The initial number of rabbit's equals 2.

Number of rabbit's after 2 months =2x3= 6

Number of rabbit's after 4 months = 6x3=18

Number of rabbit's after 6 months = 18x3=54

Number of rabbit's after 8 months = 54x3=162

Thus we can see that the number of rabbit's form a Geometric series with common ratio =3 and initial term = 2

Now the general term of a geometric series with first term 'a' and common ratio 'r' is given by

Thus we need to find when the term becomes 500 thus using the given data we have  

Thus the fifth term (excluding the start term) will have a rabbit count of 500 now since each term has a time difference of 2 months thus sixth term will occur after

може ли да зареждате повече информация, моля