Question

At time 0s, a population has 2 members. At time 2s, there are 4 members. At time 6s, there are 16 members. What type of growth is being experienced by this population?

Answer 1

Exponential growth is seen

Given that initial population, at time 0 members =2

i.e. P0 =2

P(2) = 4

In 2 minutes it became 4 times

And in 6 minutes it became 16 members

P(0) =2

P(2) =4

P(6) =16

i.e. every 2 minutes the population doubles

Hence exponential growth of population doubling in 2 minutes

P(t) = $2^{\frac{t}2}$

will be the function representing the population at time t.

Answer 2

Exponential Growth....members are increasing to its double value within every 2s.