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Figure 3    Cartesian Coordinate Graph of Density of Water vs. Temperature

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GRAPHING Algebra The first step is to label the x-axis and the y-axis. Let the x-axis be temperature in °C and the y-axis be density in g/ml. The next step is to establish the units of measurement along each axis. The x-axis must range from approximately 40 to 100, the y-axis from 0.95 to 1.00. The points are then plotted one by one.  Figure 3 shows the resulting Cartesian coordinate graph. Figure 3    Cartesian Coordinate Graph of Density of Water vs. Temperature Graphs are convenient because, at a single glance, the major features of the relationship between the two physical quantities plotted can be seen.   In addition, if some previous knowledge of the physical  system  under  consideration  is  available,  the  numerical  value  pairs  of  points  can  be connected  by  a  straight  line  or  a  smooth  curve.    From  these  plots,  the  values  at  points  not specifically measured or calculated can be  obtained.   In Figures 2 and 3, the data points  have been connected by a straight line and a smooth curve, respectively.  From these plots, the values at points not specifically plotted can be determined.   For example, using Figure 3, the density of water at 65°C can be determined to be 0.98 g/ml.   Because 65°C is within the scope of the available  data,  it  is  called  an  interpolated  value.   Also  using  Figure  3,  the  density  of  water  at 101°C can be estimated to be 0.956 g/ml.   Because 101°C is outside the scope of the available MA-02 Page 76 Rev. 0



   


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