Practice Problems on Exponential Decay Formula
1. A sample of a radioactive isotope has an initial mass of 20 grams. The half-life of the isotope is 3 years. Calculate the remaining mass of the isotope after 9 years.
2. A new car is purchased for $25,000. The car depreciates at a rate of 20% per year. How much will the car be worth after 5 years?
3. A species of fish in a lake is decreasing at a rate of 10% per year due to pollution. If the current population is 5000 fish, what will be the population after 2 years?
4. A chemical solution is degrading at a rate of 15% per hour. If you start with 100 milliliters of the solution, how much of the original chemical will remain after 6 hours?
5. A scientist has 160 grams of a substance that decays exponentially. After 4 hours, only 20 grams of the substance remain. What is the half-life of the substance?
Exponential Decay Formula
Exponential Decay Formula: A quantity is said to be in exponential decay if it decreases at a rate proportional to its current value. In exponential decay, a quantity drops slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decay (depreciation), and it can also be used to calculate half-life (the amount of time for the population to become half of its size).
In this article, we have provided the formula for Exponential Decay, along with some examples of it.
Table of Content
- What is Exponential Decay
- What is the Exponential Decay Formula?
- Exponential Decay Formula
- Properties of Exponential Decay
- Practice Problems on Exponential Decay Formula
- Conclusion of Exponential Decay