- Home
- AU Maths Methods
- Applications of Exponential Functions
Exponential growth and decay by percentage
- Lesson: 18:51
- Lesson: 27:32
Exponential growth and decay by percentage
Exponential growth/decay rates can be presented in percentages. We will work on questions of this kind in this lesson.
Basic Concepts: Solving logarithmic equations
Related Concepts: Derivative of inverse trigonometric functions, Derivative of logarithmic functions
Lessons
exponential growth/decay: Af=Ai(f)periodtime
Af: final amount
Ai: initial amount
f : growth/decay factor
half-time→f=21
triple→f=3
ten-fold→f=10
increase by 10%→f=(1+10010)=1.1
decrease by 8%→f=(1−1008)=0.92
time : total time given
period : every length of time
Af: final amount
Ai: initial amount
f : growth/decay factor
half-time→f=21
triple→f=3
ten-fold→f=10
increase by 10%→f=(1+10010)=1.1
decrease by 8%→f=(1−1008)=0.92
time : total time given
period : every length of time
- 1.exponential growth/decay by percentage
The population of rabbits is increasing by 70% every 6 months.
Presently there are 500 rabits. How many years will it take for
the population to reach 1,000,000? - 2.exponential growth/decay by percentage
The intensity of light is reduced by 2% for each meter that a diver
descends below the surface of the water. At what depth is the intensity of
light only 10% of that at the surface?