Solving Applications of Exponential Growth and Decay

Tutoring on Solving Applications of Exponential Growth and Decay

Learning Objectives:

Understand to Solve and Apply Exponential Growth and Decay.

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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