Mastering Exponential Growth And Decay: A Comprehensive Guide
Exponential Growth: \(A(t)\) is the quantity at time \(t\). \(A_0\) is the initial quantity at \(t = 0\). \(r\) is the growth rate, often expressed as a decimal. \(e\) is the base of the natural logarithm, approximately equal to \(2.71828\). The growth rate \(r\) determines how quickly the quantity increases. If \(r > 0\), the […]
How to Solve Exponential Growth and Decay Functions?
A step-by-step guide to exponential growth and decay The formulas of exponential growth and decay are presented below: Exponential growth:\(\color{blue}{f(x)=a(1+r)^t}\) Exponential decay:\(\color{blue}{f(x)=a(1- r)^t}\) Exponential growth uses a factor \(r\) which is the rate of growth. The \(r\)-value lies between \(0\) and \(1\) \((0<r<1)\). The expression \((r + 1)\) can be considered a growth factor. And \(t\) […]