What is exponental groth?

Answer 1

Exponent growth follows a relation represented by y = a * exp(b*t), where y is a function of time, a and b are constants, and t is the time variable.

With formal math out of the way, let us have a feel of what it means in real values. Let a = 1 = b to simplify calculations.

Therefore, y = e^t. I am going to tabulate the value of y for the first few minutes. You can plug the formula into Excel to replicate the result.

t [s] y(t)

==

0 1

1 2.718

2 7.389

3 20.086

4 54.598

5 148.413

We observe that y(t+1) = 2.718*y(t). That means the y value at (t+1) s is equal to 2.718 times the y value one second before. At this rate, a handheld calculator will give up at t=231 s. That is exponential growth.