Which of the following describes the exponential growth of a species?

Answer 1

The rate of population increase stays constant.

Answer 2

Exponential growth (including exponential decay) occurs when the growth rate of a mathematical function is proportional to the function's current value. In the case of a discrete domain of definition with equal intervals it is also called geometric growth or geometric decay (the function values form a geometric progression). Exponential growth is said to follow an exponential law; the simple-exponential growth model is known as the Malthusian growth model. For any exponentially growing quantity, the larger the quantity gets, the faster it grows. An alternative saying is 'The rate of growth is directly proportional to the present size'. The relationship between the size of the dependent variable and its rate of growth is governed by a strict law of the simplest kind: direct proportion. It is proved in calculus that this law requires that the quantity is given by the exponential function, if we use the correct time scale. This explains the name. The graph illustrates how exponential growth (green) surpasses both linear (red) and cubic (blue) growth

Answer 3

It grows faster as it gets larger, but it can't go on for ever. Crime increases (both in $ and as a %), and social measures do not keep pace with growth. The people at the bottom of the economic ladder suffer disproportionately (both in $ and as a %), compared with the people at the top. The only people at the bottom who do really well out of it are the tradesmen, and then of course there are the banks (but then, they do well whatever happens, even when it's their fault!).

Answer 4

A graph showing exponential growth will display a curved line that becomes increasingly steep as it's x value becomes greater. The rate at which the Y value rises with the x value will increase at a steady rate as well.

Answer 5

Exponential growth of a species occurs when the population size increases at an accelerating rate, leading to a J-shaped curve on a graph. It occurs when resources are abundant, and there are no limiting factors to population growth. However, in reality, exponential growth is unsustainable and eventually leads to a population crash or stabilization due to limited resources.

Answer 6

hypothetical population consists of all possible ways in which an event can occur

Answer 7

Exponential Growth is shown with a J-shaped curve. Logistic has an S-shape.

Answer 8

For apex: the rate of population