Constant of Variation
Pronunciation: /ˈkɒn.stənt ʌv ˌvɛər.iˈeɪ.ʃən/ Explain
The constant of variation is the ratio
by which the input and output vary in
direct variation or
direct proportion.
Constant of variation means the same thing as
constant of proportion.
The general equation for direct variation is the linear equation, y = kx
where k is the constant of variation
(or constant of proportion). The constant of variation is also the
slope
of the line representing the relationship between
input
and
output.
In the equation y = 3x, the constant of variation is 3.
In the equation r = 0.6t, the constant of variation is 0.6.
References
- McAdams, David E.. All Math Words Dictionary, constant of variation. 2nd Classroom edition 20150108-4799968. pg 44. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Lyman, Elmer A.; and Darnell, Albertus. Elementary Algebra. pg 448. www.archive.org. American Book Company. 1917. Last Accessed 6/25/2018. http://www.archive.org/stream/elementaryalgebr00lymarich#page/448/mode/1up/search/constant+variation. Buy the book
- Reitz, H. L.; and Crathorne, A. R.. College Algebra. revised edition. pg 97. www.archive.org. Henry Holt and Company. 1919. Last Accessed 6/25/2018. http://www.archive.org/stream/cu31924031219029#page/n118/mode/1up/search/constant+variation. Buy the book
Cite this article as:
McAdams, David E. Constant of Variation. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/constantofvariation.html.
Revision History
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
6/25/2018: Removed broken links, updated license, implemented new markup, updated GeoGebra apps. (
McAdams, David E.)
5/5/2011: Initial version. (
McAdams, David E.)
3/4/2008: Added Growth to See Also. (
McAdams, David E.)
2/4/2008: Added examples. (
McAdams, David E.)