In this problem we have two variables: the fee and the days late. And they are giving us these information:
1) for 9 days late, the fee was $1.08.
2) that Sydney hade a fee of $1.92
in this case because the fee of each day is the same we can aply the rule of 3:
[tex]\begin{gathered} 9\to\text{ 1.08} \\ \text{? }\to\text{ 1.92} \end{gathered}[/tex]So the formula say:
[tex]?=\text{ }\frac{9\times1.92}{1.08}[/tex]Doing the operation in the calculator the final answer is:
[tex]\text{? = 16}[/tex]that means thad Sydney was late for 16 days.