#1**0 **

I think 360 is just the number of bees within 30 days, well we have to add the starting bees, so 360+27=387

Guest Oct 24, 2019

#2**+1 **

No, not quite. There were 27 bees when they were discovered. After 3 days, there were 36 bees. Right?

What was the INCREASE in 3 days?

36 / 27 = 1.333333..........There was an increase of 33.33% over 3 days. And after 30 days?

30 / 3 = 10 periods of 33.33% INCREASE, because the bees are multiplying "exponentially". That means:

(1.3333333.....)^10 =17.7577 - this is the total growth in the population of the original 27 bees.

So, 27 x 17.7577 =479.458 = ~479 bees after 30 days.

Guest Oct 24, 2019

#3**+1 **

We have that

N = a_{0}b^{x}

Where N = the number of bees after x days and a_{0} is the number of bees on day 0

So we have that

36 = 27b^{3} divide both sides by 27

36/27 = b^{3}

4/3 = b^{3} take the cube root

∛[4/3] = b

After 30 days there are

N = 27*(∛[4/3])^{30} ≈ 479 bees

CPhill Oct 24, 2019