Answer
$w=\dfrac{24}{t}$
Work Step by Step
$w$ is inversely proportional to $t$ so the equation that relates the variables is:
$w=\dfrac{k}{t}$ where k = constant of proportionality.
If t = 8, then w = 3. Substitute these values into the equation above to have:
$w=\dfrac{k}{x}
\\3 = \dfrac{k}{8}
\\3(8)=k
\\24=k$
The constant of proportionality is $24$. Thus, the equation that relates w and t is:
$w=\dfrac{24}{t}$