This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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You're on a roll — here are the solutions to the questions: 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) | 0 | 12 | 24 | 36 | 48 | 60 | 72 | 84 | 105 | | :------------ | :- | :- | :- | :- | :- | :- | :- | :- | :-- | | Time (mins) | 0 | 15 | 30 | 45 | 60 | 75 | 90 | 105 | 120 | 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? Step 1: Convert 1 hour 30 minutes to minutes. 1 hour 30 minutes = 60 minutes + 30 minutes = 90 minutes Step 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 $