Question

Nina can stitch 2/3 of a dress in 4 hours. If d represents the number of dresses and h represents the number of hours, which equation represents this proportional relationship.d=6h3d=4hd=1/6hd=4h1/6d=12h

Answer 1

Proportional relationships have this form:

`y=kx`

Where "k" is the Constant of proportionality.

You know that "d" is the number of dresses and "h" the numbers of hours. So for this case the equation will have this form:

`d=kh`

You know that Nina can stitch 2/3 of a dress in 4 hours, then:

`\begin{gathered} d=(2)/(3) \\ h=4 \end{gathered}`

Substitute these values into the equation and solve for "k":

`\begin{gathered} (2)/(3)=k(4) \\ (2)/(3\cdot4)=k \\ k=(1)/(6) \end{gathered}`

Substituting this value into the equation, you get that the equation that represents this proportional relationship​ is:

`d=(1)/(6)h`

The answer is the Third option.