Answer
30
Work Step by Step
Solving Variation Problems (see p. 424)
1. $\ \ $Write an equation that models the given English statement.
2. $\ \ $Substitute the given pair of values into the equation in step 1 and find the value of k, the constant of variation.
3. $\ \ $Substitute the value of k into the equation in step 1.
4. $\ \ $Use the equation from step 3 to answer the problem's question.
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1.
$y$ varies inversely as $x$ or $y$ is inversely proportional to $x$.
$y=\displaystyle \frac{k}{x}$
2.
$12=\displaystyle \frac{k}{5} \qquad /\times 5$
$k=60$
3.
$y=\displaystyle \frac{60}{x}$
4.
$y=\displaystyle \frac{60}{2}=30$
