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          -=M•l:f010~                                                                        •  Decide how to use your graph      -=M•l:t01U~
                                                                                              to find answers to these.
                      PAGE 22                                                                •  Give your answers to the                       PAGE 23
                                                                                              nearest whole kilometre
                                                                                              or mile.
                                                                                             How many kilometres
                                                                                             would journeys this long be?
                                                                                             a  16 miles   b  41  miles
                                                                                             c  26 miles   d  51  miles
                                                                                             How many miles would journeys
                                                                                             this long be?
                                                                                             e  15km   f  44km   g  84km   h  101 km
                                                                                          :cztr,Jll  N"~r-;..,,,.._41~_.~~u4, -  "'"'M.
                                                                                          @]   a  Mark 6 points in red on the line and letter them a to f.
                                                                                             b  Explain what each point tells you.
                                                                                             On the graph, 10 miles convert to 16 kilometres.
                                                                                             So 100 miles would convert to 160 kilometres.
                                                                                             Explain how you could use your graph to help
                                                                                             you work out these.
                                                                                             How many kilometres would journeys this long be?
                                                                                             a  250 miles  b  150 miles  c  400 miles  d  705 miles
                                                                                          fsHAol!i.~~- ~~""""'"1:•,___".








          DJ

           miles                      0      5       10      20      30      40             a  26 km                  Open: mark six points on the line and explain
                                                                                                                      that each point allows you to convert the
           kilometres                 0      8      16       32      48      q5             b  66 km                  kilometres to miles and the miles to kilometres.

           ordered pair (miles,  km)   (0,0)   (5,8)   (  10, 16)  (20,32)  (30,48)  (40,q6)   c  42 km
                                                                                            d  82 km

                                                                                            e  q miles                To  use the graph to convert 250 miles, you  can
                                                                                                                      find out what a tenth of 250 (i.e. 25) converts to
          Practical: plot and join the points on  Resource Master  11  and extend the       f  27 (or 28) miles       and then multiply the answer by  10.
          line.
                                                                                            g  52 miles               a  400 km     b  240 km     c  640 km
                                                                                            h  63 miles               d  1128 km  [700 miles = l 120 km + 5 miles = 8 km]

          a  56 km        b  40 km         c  80 km         d  112 km
                                                                                                                      Challenge
          e  15miles      f  45 miles      g  40 miles      h  65 miles
                                                                                            Open: explain why         Practical: design a graph to convert inches to
                                                                                            someone might want        centimetres.
                                                                                            to convert miles to       [The graph should have axes marked with
                                                                                            kilometres and            inches from 0 to  12 and centimetres from 0 to
                                                                                            kilometres to miles.      30.]
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