1. 3.8 - Exponential Growth and Decay

2. Examples Population Growth Economics / Finance Radioactive Decay Chemical Reactions Temperature (Newton’s Law of Cooling)

3. Law of Natural Growth or Decay Is a Differential Equation: y = ky. Growth if k > 0. Decay if k < 0. Only solution is y(t) = y 0 e kt, where y 0 = y(0) or the initial amount/number.

4. Law of Natural Growth or Decay - Simplified Distilled down, the differential equation from the previous slide gives rise to the exponential growth/decay model Where N o is the initial amount/number and k is the growth (k > 0) or decay (k < 0 constant).

5. Examples 1.

6. Examples 2.