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The rate of change of $y$ with respect to $t$ is proportional to the product of $y$ and $t$.

If $k$ is a constant, which of the following best represents this relationship?

A

$\cfrac{dy}{dt}=kt$

B

$\cfrac{dy}{dt}=y\cfrac{t}{k}$

C

$\cfrac{dy}{dt}=\cfrac{k}{y}t$

D

$\cfrac{dy}{dt}=kyt$

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