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Use the table to draw a distance-time graph. 6. (a) (ii) Using the graph, how far did the cyclist travel in 1 hour 30 minutes?

Mathematics

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6. (a) A cyclist travelled at a constant speed from Koforidua to Nkawkaw. The distance covered every 15 minutes is shown in the table below.

Distance (km)012243648607284105
Time (mins)0153045607590105120

6. (a) (i) Use the table to draw a distance-time graph.
To draw the graph, plot the points (Time, Distance) from the table on a coordinate plane. For example, plot (0,0), (15,12), (30,24), and so on. Connect these points with a straight line, as the speed is constant.

6. (a) (ii) Using the graph, how far did the cyclist travel in 1 hour 30 minutes?

  1. Convert 1 hour 30 minutes to minutes.

    1 hour 30 minutes=60 minutes+30 minutes=90 minutes1 \text{ hour } 30 \text{ minutes} = 60 \text{ minutes} + 30 \text{ minutes} = 90 \text{ minutes}
  2. Locate 90 minutes on the time axis of your graph (or directly from the table).

    From the table, when Time = 90 minutes, Distance = 72 km.
    The cyclist travelled $\boxed{\text

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