Question

The population of a rabbit colony triples each month.

Answer 1

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

$P(t) = P(0)(3)^t$

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that $P(0) = 5$

So

$P(t) = 5(3)^t$

How many rabbits are there after 6 months?

This is P(6). So

$P(6) = 5(3)^6 = 3645$

3645 rabbits after 6 months.