The initial value, or the fine owed when the book is not overdue (i.e., 0 days overdue), can be inferred from the pattern of the fines listed in the table.
Here’s the information from the table:
- 2 days overdue: $30
- 3 days overdue: $45
- 4 days overdue: $60
From this data, we can observe that the fine increases by $15 for each additional day the book is overdue.
To find the initial value, we can extrapolate backwards:
- If 2 days overdue = $30, then 1 day overdue would be $30 - $15 = $15.
- If 1 day overdue = $15, then 0 days overdue (the initial value) would be $15 - $15 = $0.
Thus, the initial value for no overdue days is $0.