Question

The population of a swarm of killer bees multiplies

10 fold in 50 days. Determine the correct

expression to calculate the number of bees after t

days if the initial swarm had 1000 bees.

Answer 1

The correct expression to calculate the number of bees after t days if the initial swarm had 1000 bees is
`P = 1000 *e^(0.2*t)`

Explanation:

Given -

The population of a swarm of killer bees increases by 10 times in 50 days

The rate of increase of population is
`r = (10)/(50) = 0.2` per day

As we now the equation of population projection is

`P= P_0 *e^(rt)\\`

Where P0 = initial population

P is the population after time t

and r is the rate of increase of population

Substituting the given values in above equation, we get -

`P = 1000 *e^(0.2*t)`