If the number of rabbits triple every year, how many rabbits will there be after 6 years if you start off with 2?
This is what I have so far: (2x3)^6
I got 46,656 for my answer but it doesn't seem like a realistic answer for the question
The starting number (initial value, or y-intercept) is not subject to the power, so
the rule for the function is
y=2(3)^x
year 0: 2(3)^0 = 2
year 1: 2(3)^1 = 6
year 2: 2(3)^2 = 18
...
year 6: 2(3)^6 = 1458
To calculate the number of rabbits after 6 years, you need to consider that the number of rabbits triples every year. Here's how you can calculate it step by step:
Start with the initial number of rabbits: 2.
In the first year, the number of rabbits triples, so multiply the initial number (2) by 3: 2 x 3 = 6.
In the second year, the number of rabbits triples again, so multiply the previous year's number (6) by 3: 6 x 3 = 18.
Continue this process for each subsequent year:
Year 3: 18 x 3 = 54.
Year 4: 54 x 3 = 162.
Year 5: 162 x 3 = 486.
Year 6: 486 x 3 = 1458.
So, after 6 years, starting with 2 rabbits, there would be a total of 1458 rabbits.