Presentation on theme: "Exponential Growth and Decay Modeling"— Presentation transcript:
1Exponential Growth and Decay Modeling Commonly used for the growth of population of animals, societies, and bacteriaExponential Growth and Decay ModelingEx-Pun-Entail(Entails extreme puns)(Models were not harmed in the making of this PowerPoint)
2Exponential Population Model Commonly used for the growth of population of animals, societies, and bacteriaP = Populationt = TimeP0 = Initial Populationr = Rate of growth as a decimal
3If r > 0 then the function is exponential growth If r < 0 then the function is exponential decay
4Examples of the Population Model If Wisconsin Rapids in 1913 had 3000 people (don’t quote me), and the population grew about 8% per year what would the population be in 2013?
5Examples of the Population Model (cont.) Plug in the values into the equationSolve the equation=6,599,284 people
7Examples of the Bacteria Growth Model Plaque (bacteria on the tooth) can build up on the teeth if the toothbrush or floss does not reach a certain section of the tooth. If 10 bacteria start on the tooth and doubles every hour, how much bacteria will be on the tooth in 3 days?
8Examples of Bacteria Growth Model cont. 10× 2 72Plug in the equation10× 2 72 = × 10 22Multiply it through
10Example of The Decay Model A calm evacuation was announced throughout the city of Towncityville, AL. The people of the city were chosen at random to be evacuated per day. The amount of people evacuated increased by 2% per day. If the population started out as 1,000,000 people, what was the population after 6 days?
11Example of Decay Model (cont.) Input the variables into the equationSolve the equation=