Variation To solve a variation problem, it is necessary to write a variation equation. First understand that all variation problems must include a value for “k” which is the constant of variation (sometimes called the constant of proportionality.) Notice in the following three types of variation that “k” is in present in each of the equations. If there is a _{}.If there is an , such as V varies inversely as T, then
the equation would be
inverse variation_{}.If there is a _{}.
If x varies First write the appropriate variation equation.
Since it is a direct variation, write Next substitute the first situation, x = 9 when y =
3, into the equation and find “k” … the constant of variation. Since
Now rewrite the direct variation equation using
the value of Finally substitute the value of y = 12 into the new
direct variation equation to get
Current, C, in an electrical current is First write the appropriate variation equation,
Next find the constant of variation, k, by
substituting the values of the first situation given into the variation
equation. Now rewrite the variation equation using the value
of Finally find the current when r = 10 using the new
variation equation with the value of k that was found, The views and
opinions expressed in this page are strictly those of Mary Lou Baker. This page was edited on 21-Sep-2010 |