Page 151 - Mathematics Coursebook
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15.3 Real-life graphs



               6  Eva was walking to the bus stop.        y
                  After two minutes she started to      400
                  run. She stopped at the bus stop.
                  a  How far had Eva walked when        350
                     she started to run?               Distance from home (m)
                  b  How long did it take Eva to        200
                     get to the bus stop?               100
                  c  What do you think happened
                     next?                                0  0  1   2    3   4    5    6   7    8   9    10  11  x
                                                                                 Time (minutes)
               7  Aziz walks from home to a shop.                          y
                  The journey is shown on the graph.                     2.0
                  The walk takes 20 minutes.
                  a  Find the distance to the shop.                      1.5
                  b  Copy the graph.                                   Distance from home (km)
                  c  Aziz is in the shop for 20 minutes.                 1.0
                     Show this on the graph.
                  d  Aziz takes 30 minutes to walk home.                 0.5
                     Show this on the graph.                              0
                                                                            0   10   20   30  40   50   60   70  x
                                                                                          Time (minutes)
               8   Misha left home in his car at 10 30. It took 2 hours to drive 50 km and
                  then he stopped for one hour.
                                                                     1
                 Then he drove back home. The journey home took 1  hours.
                                                                     2
                  a  Draw a graph to show Misha’s journey.
                  b  What time did Misha get home?
               9   Johanna went on a cycle ride. She started at 9 15 am. She rode for 2 hours and travelled 30 km. She
                                                             1
                  stopped for 1 hour. She cycled for another 2  hours and travelled another 40 km.
                                                             2
                  a  Draw a graph to show her journey.
                  b  Work out when she finished.


               Summary

                You should now know that:                          You should be able to:
                +   Times can be written in the 12-hour clock system   +   Understand and use the 12-hour and 24-hour
                   or the 24-hour clock system.                       clock systems.
                +   Timetables usually use the 24-hour system. Each   +   Interpret timetables.
                   column shows a different journey.               +   Calculate time intervals.
                +   You must be careful calculating the difference   +   Draw and interpret graphs in real-life contexts
                   between two times because time does not use a      involving more than one stage, such as travel
                   decimal system: there are 60 minutes in an hour.   graphs.
                +   Graphs can be used to show journeys. Time is   +   Understand and use everyday systems of
                   shown on the horizontal axis.                      measuring time.

                                                                   +   Solve word problems involving time.


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