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 3.53.5 hours, the garage bills 44 hours: 4⋅4=164\cdot4=16 dollars, choice J. Choice F ($12) charges for only 33 hours and ignores the partial hour. Choice G ($14) multiplies the rate by the exact 3.53.5 hours, which does not follow the rule. Choice H ($18) bills 4.54.5 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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