Question
Mathematics
The table below shows the schedule for parking fees at a local hospital. The car park is open from 6:00 am to $6:00pm$6:00 pm Draw a step graph to represent the data.
Parking fees
 Time (hours) Cost Equal to or more than Less than 0 0.5 $\mathrm{}9$$9 0.5 1 $\mathrm{}11$$11 1 1.5 $\mathrm{}15$$15 1.5 2 $\mathrm{}18$$18 2 2.5 $\mathrm{}20$$20 2.5 3 $\mathrm{}23$$23 3 3.5 $\mathrm{}26$$26 3.5 4 $\mathrm{}29$$29 4 8 $\mathrm{}31$$31 8 12 $\mathrm{}33$$33
Time (hours) Cost Equal to or more than Less than 0 0.5 $9 0.5 1$11 1 1.5 $15 1.5 2$18 2 2.5 $20 2.5 3$23 3 3.5 $26 3.5 4$29 4 8 $31 8 12$33
Solve problem with AI
To create a step graph to represent the data in the table, we first need to plot the points on a coordinate plane. We will place the time values on the horizontal axis and the cost values on the vertical axis.
For each row in the table, we will plot a point at the left endpoint of the time interval with a y-coordinate equal to the cost. Then, we will draw a horizontal line to the right endpoint of the time interval and plot a point at that location with the same cost value. This will create a step-like pattern.
Here is the step graph representing the parking fees:

Note that the step graph starts at (0, 0) because there is no cost for parking before 6:00 am. The graph ends at (12, 33) because the car park is open from 6:00 am to 6:00 pm, which is 12 hours.
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