match the correct graph to the story below.\na parking garage charges a fixed amount of money for each hour…

match the correct graph to the story below.\na parking garage charges a fixed amount of money for each hour (or even a portion of an hour) that it is used.\n$x =$ how many hours the garage is rented for.\n$y =$ the cost to rent the garage.\na\nb\nc\nd

match the correct graph to the story below.\na parking garage charges a fixed amount of money for each hour (or even a portion of an hour) that it is used.\n$x =$ how many hours the garage is rented for.\n$y =$ the cost to rent the garage.\na\nb\nc\nd

Answer

Brief Explanations:

The parking garage charges a fixed rate for every hour or portion of an hour. This means the cost stays constant for each full hour interval, then jumps up immediately when any part of the next hour is used. This is a step function, where cost increases in discrete steps rather than continuously. Graph A shows this step pattern, with flat segments (constant cost for a time interval) and upward jumps at the start of each new hour (open circles indicate the start of the new interval's cost, closed circles the end of the previous interval's cost). Graphs B, C are continuous linear graphs which would apply if cost increases smoothly with time, not per hour/portion. Graph D is a curved graph that first rises then falls, which does not match the parking cost scenario.

Answer:

A. The step-function graph with flat segments and upward jumps