Question

A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.10. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total fine for a book on the fourth day it is overdue?

Answer 1

Answer:

The answer is $0.70.

Step-by-step explanation:

On the first day that a book is overdue, the total fine is $0.10.

For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount.

So, fine on 1st day overdue = $0.10

Fine on 2nd day overdue = $0.10\times2=0.20$ (this is lesser than the value if $0.30 is added)

Fine on 3rd day overdue = $0.20\times2=0.40$ (this is lesser than the value if $0.30 is added)

So, fine on 4th day overdue will be = $0.40+0.30=0.70$ dollars. (here doubling will give higher value)

So, the answer is $0.70.