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?

Tn = 0.35 + 0.15n

Step-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 terms

d = T2 - T1 = T3 - T2

= $0.65 - $0.50

= $0.15

Let a = first term = $0.50

d = common difference between 2 consecutive terms

n = number of term

T1 = a = $0.50

T2 = a + d = $0.50 + $0.15

= $0.65

T3 = a + d + d = a + 2d

= $0.50 + $0.15 + $0.15

= $0.80

Going by the sequence above

Tn = a + (n-1) d

Tn = 0.5 + (n-1) 0.15

Tn = 0.5 + 0.15n - 0.15

Tn = 0.35 + 0.15n

Marisa's library fine as a function of a book that is n days overdue is given as 0.35 + 0.15n