Question

a beekeeper estimates that his population of bees will triple each year. currently he has 150 bees. write a function to represent the growth of the beekeepers population over time. use x to represent the number of bees

Answer 1

y=150(3)^x

Explanation:

I had to do an assignment with the same question, this is the answer :)

Answer 2

`x = 150 * 3^(y)`

Explanation:

Let's start by creating the beginning of the data sample, knowing the population of bees triples each year.

Year 0 = 150

Year 1 = 450

Year 2 = 1350

Year 3 = 4050

Year 4 = 12150

If we look at the numbers, we see they are all divided by 150:

Year 0 = 150 / 150 = 1

Year 1 = 450 / 150 = 3

Year 2 = 1350 / 150 = 9

Year 3 = 4050 / 150 = 27

Year 4 = 12150 / 150 = 81

We then see the result of the division by 150 is in fact the table of multiplication by 3.

So, by inverting the operation, we can see the number of bees (x) for any given year starting from now is 150 times 3 at the power of the year (y).