Apopulation is growing at a rate of 2,4, 8, 16, 32. which type of growth does this describe?

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!

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.

the scientific method.

cells use diffusion to get substances in and out of themselves. that diffusion will occur across the cell membrane or the outer covering of the cell. because we are talking about the surface of the cell, surface area and volume are  important factors here. as a cell increases in size, its surface area and volume increase as well.  we call that the surface area to volume ratio (sa: vol).  but the catch is that  volume increases at a greater rate than surface  area. in other words, as a cell gets bigger, the sa: vol gets smaller. so a really small cell like bacteria is mostly cell membrane (surface) with very little contents (volume). a really big cell like an egg, is mostly insides with a super thin membrane. so what ends up happening is that the cell cannot efficiently diffuse all of the stuff it needs in/out to survive. therefore cell size is limited to about 100mm. so how do we make organisms bigger than 100mm? cells divide! by dividing and becoming multicellular, organisms are able to grow!   check out the diagrams i attached to see the effect of sa: vol. i hope this ! good luck!