Inversely Proportional
Pronunciation: /ɪnˈvɜr'sli prəˈpoʊr.ʃə.nl/ Explain
Two
variables
are inversely proportional if the
multiplicative inverse
of one has a
common ratio
with the other. A general equation for variables that are inversely proportional is
.
In this equation x and
y are the variables that are inversely proportional. a is the
constant of variation.
An example of variables that are inversely proportional is the time it takes to make a
trip as a function of speed. The faster you go, the quicker (less time) you get there.
This can be expressed with the function
where t(s) is the time it takes to make the
trip, 100 is the distance, and
s is the speed of travel.
References
- McAdams, David E.. All Math Words Dictionary, inversely proportional. 2nd Classroom edition 20150108-4799968. pg 102. Life is a Story Problem LLC. January 8, 2015. Buy the book
- inversely proportional. merriam-webster.com. Merriam-Webster Online Dictionary. Merriam-Webster. 2010. Last Accessed 8/7/2018. http://www.merriam-webster.com/dictionary/inversely%20proportional. Buy the book
- Davies, Charles. New Elementary Algebra : Embracing the First Principles of the Science. pp 274-275. www.archive.org. Barnes & Burr, Publishers. 1864. Last Accessed 8/7/2018. http://www.archive.org/stream/newelementaryalg00daviiala#page/274/mode/1up/search/inversely. Buy the book
- Underwood,Ralph S.; Nelson,Thomas R.; Selby,Samuel.. Intermediate Algebra. pp 218-219. www.archive.org. The Macmillan Company. 1947. Last Accessed 8/7/2018. http://www.archive.org/stream/intermediatealge033585mbp#page/n219/mode/1up/search/inversely. Buy the book
- Rong Yang. A-Plus Notes for Beginning Algebra: Pre-Algebra and Algebra 1. revised edition. pg 269. A-Plus Notes Learning Center. January 1, 2006. Last Accessed 8/7/2018. Buy the book
More Information
- McAdams, David E.. Proportional. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 3/12/2009. http://www.allmathwords.org/en/p/proportional.html.
Cite this article as:
McAdams, David E. Inversely Proportional. 4/23/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/i/inverselyproportional.html.
Image Credits
Revision History
4/23/2019: Updated equations and expressions to new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
8/6/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (
McAdams, David E.)
3/2/2010: Added "References". (
McAdams, David E.)
8/13/2008: Added general equation for inverse proportion. Changed equation t(s)=100/s to hot_eqn. Added vocabulary link for 'multiplicative inverse' (
McAdams, David E.)
7/7/2008: Corrected link errors. Corrected spelling (
McAdams, David E.)
7/12/2007: Initial version. (
McAdams, David E.)