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Slide1
Exponential growth
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.
Skills
: none
C
oncepts
: linear growth, exponential growth, linear scale plot, logarithmic scale plot, “hockey
stick,” Moore’s Law, hosting in the cloudSlide2
Where does this topic fit?
Internet conceptsApplicationsTechnologyImplicationsInternet skillsApplication developmentContent creationUser skillsSlide3
Grow by the same amount in each time period
Grow by the same percent in each time period
Linear
versus exponential growthSlide4
Year
Growth
1
2
3
4
5
6
7
8
9
1010%1011121315161819212420%1012141721253036435250%101523345176114171256384100%10204080160320640128025605120
E
xponential
growthSlide5
Exponential growth, linear scale
Twelve year, 100% sales growthSlide6
Exponential growth, logarithmic scale
Exponential
demo spreadsheet:
Twelve year, 100% sales growth
http://
som.csudh.edu/fac/lpress/netapps/hout/techprogress/exponentialgrowth.xlsSlide7
Transistor count – Moore’s Law
Is this linear growth or exponential growth? Explain your answer?Slide8
Interactive plot
Exponential growthSlide9
New Yorkers see the world logarithmicallySlide10
SummarySlide11
Play around with this exponential
demonstration spreadsheet:http://som.csudh.edu/fac/lpress/netapps/hout/techprogress/exponentialgrowth.xlsMoore’s Law article:ftp://download.intel.com/museum/Moores_Law/Articles-Press_Releases/Gordon_Moore_1965_Article.pdfFor more on Moore’s Law, see:http://en.wikipedia.org/wiki/Moore's_law
Wolfram Alpha Moore’s law calculator:http://www.wolframalpha.com/input/?i=moore's+lawResourcesSlide12
Self-test questions
Before answering these questions, play around with the spreadsheet at:
http://som.csudh.edu/fac/lpress/presentations/exponentialgrowth.xlsx How does the graph change when the original amount is increased from $1,000 to $10,000? To $1? To $1,000,000?
What does the graph look like when annual growth is only 1%? 50%? 100$ 300%?
If
sales grows at only 1 percent per year, is that considered exponential growth?
If
plotted on a linear scale, will 1% growth per year be a straight line or a “hockey stick?”
If
plotted on a logarithmic scale, will 1% growth per year be a straight line or a “hockey stick?”If automobile gas mileage doubled each year, how many miles per gallon would a typical car get in ten years?The first CPU chip had about 2,300 transistors in 1971. A CPU might have 2.3 billion today. How many times has the number of transistors doubled since 1971?