Question

A school library charges a fine of 5 cents on the first day a book is overdue, then doubles the amount owed each day until payment is made. Jada and Juan each had a book that was overdue. Jada paid a fine that was $2.40 more than Juan’s fine. Which statement about the overdue books is true?

Answer 1

Don't know, but we know that

5*2^r2 = 5*2^r1 + 240
2^r2 = 2^r1 + 24
2^r1 (r2-r1+1) = 24 = 2^3(2+1)
So, r2-r1 = 2 and r1=3

Juan's book was 4 days overdue
Jada's book was 6 days overdue

Juan's fine: 5+10+20+40 = 75
Jada's fine: 75+80+160 = 315

Answer 2

w4tt4w

Answer 3

Yes