2
QuizMultiple Choice

Special Linear Relationships

Question 2 • FL-1200370-Algebra 1-A Semester 1

The sequence below shows Marisa’s library fine starting on the first day her book is overdue and for each additional day afterward:$0.50, $0.65, $0.80, $0.95, $1.10, ...Let f(n) represent Marisa’s library fine (in dollars), where n is the number of days the book has been overdue, starting with n=1 for the first day overdue.Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

Answer
A
f(n) = 0.15n
B
f(n) = 0.50n
C
f(n) = 0.15n + 0.35
D
f(n) = 0.50n + 0.15

Explanation

The fine increases by $0.15 each day, so it follows a linear rule with rate 0.15. Since the fine is $0.50 on the first day, the rule must give f(1) = 0.50. Choice C gives 0.15(1) + 0.35 = 0.50, so f(n) = 0.15n + 0.35.

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