If you are especially knowledgeable, a great way to introduce your answer would be by outlining that the current system was codified in 1758 by Carl Linnaeus, hence being referred to as Linnaean taxonomy. He proposed a five rank hierarchy, whereas today we use an eight rank system. That system is domain, kingdom, phylum, class, order, family, genus, species. You could then explain that differentiating ranks, or understanding what a rank truly is, is difficult. Students, and the general public as well of course, have no real way of knowing what a rank means. Even the concept of a ‘species’ is hard to define, and there are multiple different definitions used by biologists, often due to vast differences between groups of organisms. The system requires constant iteration – for example, kingdoms were recently changed from there being five to six.
To create change across an entire discipline would be very difficult; however, given that the general public has no idea what constitutes one rank or another, we might surmise that our current ranks are unfit for purpose when trying to communicate with non-scientists (or indeed, any non-biologist or taxonomist).
We might suggest a new system to the tutor if we are aware of one – you might suggest Phylocode, for example, that seeks to accurately classify organisms into their phyla.