Direct Variation
Algebra 2
7
DIRECT VARIATION
Learning Targets
1.
Identify direct variation from an equation, a table, and a graph.
2.
Write linear equations from context (including direct variation).
Example 1
:
The price of a movie is $8 for a general admission ticket.
Write an equation that shows the total price of
admission for a group as a function of the number of tickets.
Example 2
:
Each time your heart beats, it pumps approximately 0.06 liter of blood from your heart.
Write an equation that
shows the Volume of blood (in liters) pumped from your heart is a function of the number of times your heart beats.
Two quantities (we’ll use
x
and
y
)
vary directly
when there is a nonzero number (let’s use
k
) such that
where
k
= the constant of variation, and we say that _______________________________________________________.
… A Direct Variation Equation is just an equation of a line in slopeintercept form with a
y
intercept of 0.
Identifying Direct Variation
An equation for direct variation looks like _____________ , or if you solve for the constant of variation, _____________.
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 Spring '08
 staff
 Direct Variation, Linear Equations, Equations, Elementary algebra

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