Learning Objectives:

__Math Tutoring on Exponential Decay__

**Exponential functions** often involve the rate of decrease of something. 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 negative the equation will die down to zero and is called the **exponential decay** equation. The **decay** of a radioactive element is governed the **exponential decay** equation. When a quantity is undergoing **exponential decay**, larger **decay** constants make the quantity vanish much more rapidly. **Radioactive decay** rate is exponential and is characterized by constants, such as **half-life**, as well as the activity and number of particles. The time required for half the nuclei of a specific radionuclide or radioactive substance to undergo radioactive **decay** is called half-life period. This is also the time required for half the quantity of a drug or other substance deposited in a living organism to be metabolized or eliminated by normal biological processes.

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**Hook Questions**:

* 1**. What is the use of exponential function?*

* 2. What is the formula for exponential decay?*

* 3. What is the rate of decay?*

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