Question

On a coordinate plane, the x-axis is labeled Time (hours) and the y-axis is labeled Cost (dollars). A step function. Step 1 has white dot (0, 3) and black dot (2, 3), step 2 has white dot (2, 6) and black dot (4, 6), step 3 has white dot (4, 9) and black dot (6, 9), step 4 has white dot (6, 12) and black dot (8, 12), step 5 has white dot (8, 15) and black dot (10, 15). The graph above represents a step function. A graph of a step function resembles the steps of a staircase and is not continuous. The black dot represents a closed endpoint (to include) and the white dot represents an open endpoint (do not include). Utilizing the graph, how much does it cost to park for 121 mins? a. $3 c. $9 b. $6 d. $12

Answer 1

Based on the given information and the graph, we can determine the cost to park for a specific time duration.

Looking at the graph, we can see that each step has a duration of 2 hours and the cost increases by $3 with each step.

To determine the cost for 121 minutes (or approximately 2 hours and 1 minute), we need to identify the step that includes this time duration.

Since each step has a duration of 2 hours, we can see that the black dots represent the closed endpoints, including the time indicated.

The second step, which ranges from 2 to 4 hours (black dots at (2, 3) and (4, 6)), does not include the 121-minute mark.

The third step, which ranges from 4 to 6 hours (black dots at (4, 6) and (6, 9)), also does not include the 121-minute mark.

Therefore, the cost for parking for 121 minutes falls within the first step, ranging from 0 to 2 hours (white dot at (0, 3) and black dot at (2, 3)).

Hence, the cost to park for 121 minutes is $3. Therefore, the correct answer is option a. $3.