Answer
31 lb
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.
M varies directly as E, $\qquad M=kE$
2.
$60=k(360) \qquad /\div 360$
$\displaystyle \frac{60}{360}=k$
$k=\displaystyle \frac{1}{6}$
3.
$M=\displaystyle \frac{1}{6}E$
4.
$M=\displaystyle \frac{1}{6}(186)=31$ lb
