Question

A population is growing at a rate of 2,4, 8, 16, 32. Which type of growth does this describe?

Answer 1

Answer:

Exponential rate

Explanation:

The given sample population is:

                             2, 4, 8, 16, 32

We have just two types of growth rate, linear and exponential growth rate. Linear growth rate inceases by a common or a constant difference. For example, given a set of values:

                         1,2,3,4,5 : we see that each value increases by 1

For exponential growth rate the values increase by a constant ratio. For example:

                 1, 4, 16, 64: we see a constant ratio of 4

From the given set of values, a constant ration best fits the increment. The ratio factor is by 2. This is an exponential growth rate.

Answer 2

Answer:

C: Exponential growth

Explanation:

In Biology, economics and Mathematics, exponential growth means when the increase in population is happening at constant rate and it is positive.

So as we can see in the example that growth rate is almost doubling in each cycle, or it can be  expressed as 2^1, 2^2, 2^3, 2^4, 2^5.

We also use a formula for deriving and expressing population's exponential growth: Nt = N0 exp (r.t)

Here Nt indicates the number of organisms of a subject population in a certain time t, where r indicates the intrinsic growth rate and t being the time. The expression () is the Euler constant with value 2.718.

Hope it helps!