Constant of Variation
Pronunciation: /ˈkɒn stənt ʌv ˌvɛər iˈeɪ ʃən/ ?
The constant of variation is the ratio
by which the input and output vary in
direct variation or
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
In the equation y = 3x, the constant of variation is 3.
In the equation r = 0.6t, the constant of variation is 0.6.
- Lyman, Elmer A.; and Darnell, Albertus. Elementary Algebra, pg 448. American Book Company, 1917. (Accessed: 2010-01-20). http://www.archive.org/stream/elementaryalgebr00lymarich#page/448/mode/1up/search/constant+variation.
- Reitz, H. L.; and Crathorne, A. R.. College Algebra, revised edition, pg 97. Henry Holt and Company, 1919. (Accessed: 2010-01-20). http://www.archive.org/stream/cu31924031219029#page/n118/mode/1up/search/constant+variation.
Cite this article as:
Constant of Variation. 2008-03-04. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/c/constantofvariation.html.
2008-03-04: Added Growth to See Also (McAdams, David.
2008-02-04: Added examples (McAdams, David.