ACT Math · Function notation and transformations
A library charges a late fee of $0.25 for each day or partial day a book is overdue. What is the fee for a book that is 4.2 days overdue?
A library charges a late fee of $0.25 for each day or partial day a book is overdue. What is the fee for a book that is 4.2 days overdue?
Answer and explanation
Answer: H: $1.25
Each day or partial day counts as a full day, so days is billed as days. The fee is dollars, choice H. Choice F ($1.05) multiplies the rate by the exact days, which ignores the rounding rule. Choice G ($1.20) bills days, a wrong amount. Choice J ($1.50) bills days. This kind of pricing is a step function, and any fraction of a day moves the bill up to the next whole day.
More Function notation and transformations questions
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- Question 17If f(x) = x² and g(x) = f(x-3) + 2, what is g(5)?
- Question 18A function is defined as f(x) = 2x+1 if x < 2, and f(x) = x²-3 if x ≥ 2. What is f(2) + f(-1)?
- Question 19If f(x) = (3x-5)/(2), what is f^-1(7)?
- Question 20The function f(x) = -2(x-3)² + 7 has its vertex at (3, 7). What is f(5)?
- Question 55A function is defined by the table below. If the pattern continues, what is f(6)?
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