11209
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Exponential Allowance Riddle
Jack and Jill's parents ask them how they would like to get their allowance.
The first choice is to get a penny on day one, two pennies on day two, four pennies on day three, and so on, doubling every day.
The second choice is to get a dollar on day one, two dollars on day two, three dollars on day three, and so on, adding a dollar each day.
Jill decides to get double each day starting with a penny and Jack decides to get an extra dollar each day.
After three weeks, who has more money?
What if Jack started with two dollars and received an extra two dollars each day? How about ten extra dollars each day?
Contributed by:
Rob Morris
SNAPSHOTS
RELATED LINKS
Exponential Growth
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Exponential Allowance Riddle
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ExponentialAllowanceRiddle/
Contributed by:
Rob Morris
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Exploration versus Consumption
Michael Schreiber
Logistic Sigmoid Market Model
Michael Schreiber
De Novo Growth Processes with Competing Mechanisms
Mark D. Normand, Maria G. Corradini, and Micha Peleg
Incipient Growth Processes with Competing Mechanisms
Mark D. Normand, Maria G. Corradini, and Micha Peleg
Continuous Exponential Growth
Gareth Russell
Complex Exponential Resonance
Michael Schreiber
Exponential Generating Functions
Ed Pegg Jr
Biphasic Exponential Decay and Growth
Mark D. Normand and Micha Peleg
Graphs of Exponential Functions
Laura R. Lynch
Area under the Exponential Curve
Okay Arik
Related Topics
Exponential Functions
Growth Processes
Mathematics Problems
High School Computer Science
High School Finite Mathematics
High School Mathematics
Middle School Mathematics
Puzzles and Recreations: Intermediate
School Puzzles and Recreations
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSA-CED.A.1
HSA-SSE.B.3
HSF-BF.A.1
HSF-IF.C.7
HSF-IF.C.8
HSF-LE.A.1
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+