Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level7. Conversion Graphs1. This graph shows the relationship between the Italian lira and the pound sterling.Pounds (£)605040302010020 40 60 80 100 120 140 160 180Italian Lira (thousands)From the graph determine:a) The rate of exchange (i.e. the number of lira to the pound)b) The number of lira that can be obtained for £22.c) The amount of £ sterling that can be exchanged for 140,000 lira.2. Christmas trees are priced according to their height. The table below shows some of theprices charged last Christmas.Height (metres) 1.0 1.5 2.0 2.5 3.0Price (£) 8.50 11.75 15.00 18.25 21.50Draw a conversion graph using 8cm to represent 1 metre on the vertical axis and 1cm torepresent £2 on the horizontal axis.a) From your graph, calculate the cost of a tree measuring 2m 35cm.b) What size tree can be purchased for £12.50?3. Bill is a craftsman who makes wooden bowls on his lathe. He advertises that he can makeany size bowl between 20cm and 60cm diameter. In his shop he gives the price of fivedifferent bowls as an example.Diameter of bowl (cm) 20 30 40 50 60Price £8.80 £20.00 £42.40 £79.00 £133.60a) Use these figures to draw a conversion graph. Use a scale of 2cm to represent a diameterof 10cm on the horizontal axis and 2cm to represent £10 on the vertical axis.b) Jane has £50 to spend. From your diagram, estimate the size of bowl she can buy.c) What is the cost of a bowl of 34cm diameter?