The sequence below represents Marisa's fine at the library for each day that she had an overdue book: $0.50, $0.65, $0.80, $0.95, $1.10, ...Which equation represents Marisa's library fine as a function of a book that is n days overdue?
Accepted Solution
A:
Answer:Tn = 0.35 + 0.15nStep-by-step explanation:From the sequence given, the fine for overdue book: $0.50, $0.65, $0.80, $0.95, $1.10, ...the difference between the 2 consecutive termsd = T2 - T1 = T3 - T2= $0.65 - $0.50= $0.15Let a = first term = $0.50 d = common difference between 2 consecutive terms n = number of termT1 = a = $0.50T2 = a + d = $0.50 + $0.15 = $0.65T3 = a + d + d = a + 2d= $0.50 + $0.15 + $0.15 = $0.80Going by the sequence aboveTn = a + (n-1)dTn = 0.5 + (n-1)0.15Tn = 0.5 + 0.15n - 0.15Tn = 0.35 + 0.15nMarisa's library fine as a function of a book that is n days overdue is given as 0.35 + 0.15n