Question

The dollars d that Katie cams at a certain company is directly proportional to the hours h that she works and inversely proportional to the cube of vacation days v With k as the constant of proportionality, which equation correctly represents Katie's cumings?

Answer 1

The dollars d that Katie cams at a certain company is directly proportional to the hours h that she works

`\begin{gathered} \text{Dollars}\propto Hours \\ d\propto h \end{gathered}`

inversely proportional to the cube of vacation days v

`\begin{gathered} \text{dollars}\propto(1)/(Vaccationdays^3) \\ d\propto h*(1)/(v^3) \end{gathered}`

With k as the constant of proportionality

`\begin{gathered} d\propto h*(1)/(v^3) \\ \text{ Remove proportionalty by constant k} \\ \text{ d=}(kh)/(v^3) \end{gathered}`

The equation is :

`\text{d=}(kh)/(v^3)`

Answer : b)

`(kh)/(v^3)`