Learning Objectives:

__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.**

**Hook Quesions**

*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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