Answer
5.4 ft
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.
-----------
1.
T varies directly as $B,\ \qquad T=kB$
2.
$3.6=k(4) \qquad /\div 4$
$\displaystyle \frac{3.6}{4}=k$
$k=0.9$
3.
$T=0.9B$
4. $T=9(6)=5.4$ ft
