use the table to answer.

days:
2
3
4
Fine:
30
45
60

the table shows the fine owed for an overdue library book according to how many dys its overdue. whats the initial value?

1 answer

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.

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