Write and Graph Exponential Decay Functions Calculator
Introduction & Importance
Exponential decay functions are crucial in various fields, from physics to finance. Our calculator helps you understand and visualize these functions effortlessly.
How to Use This Calculator
- Enter the initial value, decay rate, and time (in years).
- Click ‘Calculate & Graph’.
- View the results and graph below.
Formula & Methodology
The formula for exponential decay is N(t) = N0 * e^(-rt), where:
- N(t) is the amount remaining after time t.
- N0 is the initial amount.
- r is the decay rate.
- t is the time in years.
Real-World Examples
Data & Statistics
| Decay Rate | Half-Life (years) |
|---|---|
| 0.5 | 0.693 |
| 1 | 0.693 |
Expert Tips
- Understand the decay rate: A higher rate means the function decays faster.
- Time matters: The longer the time, the more the function decays.
Interactive FAQ
What is exponential decay?
Exponential decay is a process where a quantity decreases at a rate proportional to its current size.
For more information, see these authoritative sources: