The dollars d that Katie cams at a certain company is directly proportional to the hours h that she works
[tex]\begin{gathered} \text{Dollars}\propto Hours \\ d\propto h \end{gathered}[/tex]inversely proportional to the cube of vacation days v
[tex]\begin{gathered} \text{dollars}\propto\frac{1}{Vaccationdays^3} \\ d\propto h\times\frac{1}{v^3} \end{gathered}[/tex]With k as the constant of proportionality
[tex]\begin{gathered} d\propto h\times\frac{1}{v^3} \\ \text{ Remove proportionalty by constant k} \\ \text{ d=}\frac{kh}{v^3} \end{gathered}[/tex]The equation is :
[tex]\text{d=}\frac{kh}{v^3}[/tex]Answer : b)
[tex]\frac{kh}{v^3}[/tex]
