Question:
If $d$ varies directly as $t^{2}$, then we can write $d t^{2}=k$, where $k$ is some constant.
Solution:
False
If $d$ varies inversely as $t^{2}$, then we can write $d t^{2}=k$, where $k$ is some constant.
Since, two quantities x and y are said to be in Inverse proportion, if an increases in x cause a proportional decreases in y and vice-versa, in such a manner that the product of their corresponding values remains constant.