Question

what is exponential growth?

Answer 1

Exponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value.

Answer 2

Exponential growth: the change that occurs when an original amount is increased by a consistent rate over a period of time

Answer 3

in your own words? so i understand

Answer 4

Basically, it is a growth that is NOT an arithmetic growth.
(It is not (2, 4, 6, 8, 10, ...)
It is a growth that increases in larger and larger differences from the previous value.
(2, 4, 8, 16, 32, etc)

Answer 5

Exponential growth example - population, velocity of a falling object, etc.

Answer 6

then whats the relationship between compound interest and exponentl growth?

Answer 7

Compound interest is a good example of exponential growth

Answer 8

wolf's answer is totally correct
you should try plotting a graph for f(x) = y
f(x)=y^2
f(x)=y^3
f(x)=y^4
.
.
.

and you will understand it better

Answer 9

what is compound interest? @wolf1728

Answer 10

Interest that is calculated on the principal plus the interest.
Simple interest: $100 at 5.% per year
For each yer the value is:
105 110 115 120 125
Compound interest: $100 at 5.% per year
For each yer the value is:
105 110.25 115.76 121.55 127.63

Answer 11

it may also help to think of exponential growth or compound int as a geometric sequence where you are multiplying by a constant each time
... 3,9,27,81
in example above @wolf1728 multiplied by 1.05 (5% int) each time

Answer 12

I believe dumbcow is referring to my compound interest example of
105 110.25 115.76 121.55 127.63
as being a geometric progression