Algebra 1 Practice - Using Direct Variation
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To solve for \( y \) using direct variation, you can use the formula for direct variation:
\[ y = kx \]
where:
\( k \) is the constant of variation (constant of proportionality),
\( x \) is the independent variable,
\( y \) is the dependent variable you want to find.
Steps to Solve for \( y \) Using Direct Variation
1. *Identify the Constant of Variation \( k \):*
If you have been given a value for \( k \) or can determine it from other data, note this value.
2. *Substitute the Known Values into the Formula:*
Insert the given value of \( x \) (the independent variable) and the known constant \( k \) into the formula \( y = kx \).
3. *Calculate \( y \):*
Perform the multiplication to find the value of \( y \).
*Example:*
Suppose the constant of variation \( k \) is 5, and you need to find \( y \) when \( x = 8 \):
1. *Substitute \( k \) and \( x \) into the Formula:*
\[
y = kx = 5 \times 8
\]
2. *Calculate \( y \):*
\[
y = 40
\]
So, when \( x = 8 \) and the constant of variation \( k \) is 5, the value of \( y \) is 40.
Summary
1. *Obtain the constant of variation \( k \).*
2. *Substitute \( k \) and the given \( x \) into the formula \( y = kx \).*
3. *Calculate \( y \) by performing the multiplication.*
This method provides a straightforward way to determine the value of \( y \) in a direct variation relationship.
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Nick Perich
Norristown Area High School
Norristown Area School District
Norristown, Pa
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