The sequence shown represents Marisa’s fine at the library for each day that she has an overdue book. 0 point 5 0 dollars comma 0 point 6 5 dollars comma 0 point 8 0 dollars comma 0 point 9 5 dollars comma 1 point 1 0 dollars comma dot dot dot Which equation represents Marisa’s library fine as a function of a book that is n days overdue?
Answer
A
f of n is equal to 0 point 1 5 n
B
f of n is equal to 0 point 5 0 n plus 0 point 1 5
C
f of n is equal to 0 point 1 5 n plus 0 point 3 5
D
f of n is equal to 0 point 5 0 n
Explanation
The fine increases by $0.15 each day: $0.65 − $0.50 = $0.15. So the function has the form f(n) = 0.15n + b. Since the fine is $0.50 when n = 1, b = $0.50 − $0.15 = $0.35, giving f(n) = 0.15n + 0.35, choice D.
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