Final answer:
Tea is a homogeneous mixture when it is well-mixed or filtered, as all parts share the same composition and appearance, unlike noodle soup which is heterogeneous.
Step-by-step explanation:
A homogeneous mixture, also known as a solution, is characterized by a uniform composition throughout, where the different components are not visibly distinguishable. Among the options provided, tea represents a homogeneous mixture provided it is well-mixed, such as filtered tea. This implies that the tea leaves or herbs have been removed, leaving a consistent liquid where all parts have an identical taste and composition. As opposed to a heterogeneous mixture, where individual substances or phases can be seen, a homogeneous mixture is visually and compositionally even.
To further clarify, sugar and carbon are not mixtures but are classified as a compound and an element, respectively. Pure water is neither a compound nor a mixture, but a pure substance and noodle soup, typically having distinguishable noodles and broth, is an example of a heterogeneous mixture.