Algebra-1

We can solve this problem by following these steps:

 

Step 1: Determine the number of growth periods

Since the population of rabbits triples every 6 months and we want to know the population after 1 year (which is 12 months), the number of 6 - month periods in 1 year is . So there are 2 growth periods.

 

Step 2: Use the exponential growth formula

The formula for exponential growth in this case is , where:

 is the final number of rabbits.

 is the initial number of rabbits, which is  here.

 is the growth factor per period. Since the population triples each period, .

 is the number of growth periods, which is  in this case.

 

Step 3: Plug in the values and calculate

Substitute