Solving Applications of Exponential Growth and Decay
Exponential functions often involve the rate of increase or decrease of something. When it is a rate of increase, we have an exponential growth function and when it is a rate of decrease, we have an exponential decay function. There are many quantities out there in the world that are governed (at least for a short time period) by the equation, Q = Q₀ eᵏᵗ , where Q₀ is positive and is the amount initially present at t = 0 and k is a non-zero constant. If k is positive then the equation will grow without bound and is called the exponential growth equation. Likewise, if k is negative the equation will die down to zero and is called the exponential decay equation. Short term population growth is often modeled by the exponential growth equation and the decay of a radioactive element is governed the exponential decay equation.
1.What is the use of exponential function?
2.What is the formula for exponential growth and decay?
3.What is exponential growth rate in biology?
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