ACT Math · Function notation and transformations
A parking garage charges $4 for each hour or partial hour a car is parked. What is the cost to park for 3.5 hours?
A parking garage charges $4 for each hour or partial hour a car is parked. What is the cost to park for 3.5 hours?
Answer and explanation
Answer: J: $16
Any partial hour is billed as a full hour, so the cost depends on the number of hours rounded up. For hours, the garage bills hours: dollars, choice J. Choice F ($12) charges for only hours and ignores the partial hour. Choice G ($14) multiplies the rate by the exact hours, which does not follow the rule. Choice H ($18) bills hours. This kind of rounding-up cost is a step function: the price stays flat within each hour and jumps when a new hour begins.
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- 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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