Exponential Growth and Decay
- If : Growth (population, compound interest)
- If : Decay (radioactive decay, cooling)
Example: Population Growth
A population doubles in 5 years. If the initial population is 1000, find the population after 10 years.
Newton's Law of Cooling
where is the surrounding temperature and is the initial temperature.
Example: Cooling Problem
A body cools from 100°C to 60°C in 20 minutes. If the surrounding temperature is 30°C, find the temperature after 40 minutes.
Radioactive Decay
where is the half-life.
Example: Radioactive Decay
A radioactive substance has a half-life of 10 years. If 100g is present initially, how much remains after 30 years?