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 Draw a step graph to represent the data.

Parking fees

Parking fees

Time (hours) | Cost | |

Equal to or more than | Less than | |

0 | 0.5 | |

0.5 | 1 | |

1 | 1.5 | |

1.5 | 2 | |

2 | 2.5 | |

2.5 | 3 | |

3 | 3.5 | |

3.5 | 4 | |

4 | 8 | |

8 | 12 | |

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Best Answer

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.

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.