Answer
$\color{blue}v=8t$
Work Step by Step
$v$ varies directly with $t$, so the equation that represents the variation is:
$v=kt$
Since $v=16$ when $t=2$, substituting these into the tentative equation above gives:
$v=kt
\\16=k(2)
\\\frac{16}{2} = k
\\8=k$
Thus, the equation of the direct variation is:
$\color{blue}v=8t$
