Final answer:
A pie chart is the most appropriate chart for showing the percentage of a student's university expenses for each category.
Step-by-step explanation:
The most appropriate chart for showing the percentage of a student's university expenses that are spent on each category is a pie chart.
A pie chart is a circular chart that represents the whole as a circle and the categories as slices of the circle. Each slice represents a percentage of the whole, with the size of the slice corresponding to the proportion of the total expense.
For example, if a student spends 40% on tuition, 20% on books, 10% on residence, 15% on travel, and 15% on entertainment, the pie chart would have five slices, each representing the corresponding percentage.