By using the exponential growth equation, we will see that the population triples after 5.83 months.
How many months will take for the farm to triple in size?
We know that the initial population of bunnies is 820, and it grows at a rate of 20.75% per month, then we can write the exponential growth as:
P(t) = 820*(1 + 20.75%/100%)^t
P(t) = 820*(1 + 0.2075)^t
Where t is the time in months.
Then we need to find the value of t such that the population triples, so we actually need to solve:
(1 + 0.2075)^t = 3
If we apply the natural logarithm to both sides, we get:
ln((1 + 0.2075)^t) = ln(3)
t*ln(1.2075) = ln(3)
t = ln(3)/ln(1.2075) = 5.83 months.
So, after 5.84 months, the population of bunnies will triple.
If you want to learn more about exponential functions, you can read:
https://brainly.com/question/11464095
