Question

the sequence below shows marisas 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 marisas 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 marisas library fine as a function of a book that is \\(n\\) days overdue?

\\(f(n) = 0.15n\\)
\\(f(n) = 0.50n\\)
\\(f(n) = 0.15n + 0.35\\)
\\(f(n) = 0.50n + 0.15\\)

Explanation:

Identify sequence parameters

$$
LATEXBLOCK0
$$

Formulate explicit equation

$$
LATEXBLOCK1
$$

Simplify the function

$$
LATEXBLOCK2
$$

Answer:

• (A) \(f(n) = 0.15n\)
• (B) \(f(n) = 0.50n\)
• (C) \(f(n) = 0.15n + 0.35\) (Correct answer)
• (D) \(f(n) = 0.50n + 0.15\)