Exponential Growth and Decay

Introduction

Let us say we have a special tree. It grows exponentially, following this formula:

Height (in mm) = ex

    • At 1 year old it is: e1 = 2,7 mm high ... really tiny!
    • At 5 years it is: e5 = 148 mm high ... as high as a cup
    • At 10 years: e10 = 22 m high ... as tall as a building
    • At 15 years: e15 = 3,3 km high ... 10 times the height of the Eiffel Tower
    • At 20 years: e20 = 485 km high ... up into space!

No tree could ever grow that tall!
So when people say "it grows exponentially" ... just think what that means.