Lesson 30
Variation:

how one quantity changes (varies) in relation to another quantity

quantities can vary directly, indirectly, jointly or combined
Direct Variation:

as the independent variable increases, the dependent variable also
increases

described by the equation
, where
is the dependent
variable,
is the independent variable,
is a nonzero constant, and

is known as the constant of variation or the constant of
proportionality
Example 1:
Express the statement as a formula that involves the given
variables and a constant of proportionality
.
is directly proportional to
.
If
, then
.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Indirect Variation:

as the independent variable increases, the dependent variable
decreases

described by the equation
, where
is the dependent variable,
is the independent variable,
is a nonzero constant, and
Example 2:
Express the statement as a formula that involves the given
variables and a constant of proportionality
.
is inversely proportional to the cube root of
.
If
, then
.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Algebra, Trigonometry, Direct Variation, Mass, Mathematical constant, variation, 2 meters

Click to edit the document details