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Draw a graph to the given data.

Displacement (km) 2 3 7 11 13 15
Time (min.)  4 8 12 16 20 24

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Best answer

1) Draw x – axis and y – axis on a graph paper. 

2) Here time is independent variable and displacement is dependent variable. So, take time on x – axis and displacement on y – axis. 

3) Calculate the ranges of values on x – axis and y – axis. 

Range on x – axis = 24 – 4 = 20 

Range on y – axis = 15-2 = 13

4) Estimate scale on x – axis and y – axis.

Scale on x - axis = \(\frac{Range}{No.\,of \,grids \,on \,x\,-\,axis}=\frac{20}{18} =1.11\) \(\cong\)2.

Scale on y - axis = \(\frac{Range}{No.\,of\,grids\, on\,y\,-\,axis} = \frac{13}{15}=0.86\)  \(\cong\)1.

So, scale on x – axis 1 cm = 2 min. 

Scale on y – axis 1 cm = 1 km.

Mark the scales on x and y – axis.

5) Write time (min) at x – axis and displacement (km) at y – axis. 

6) Write data points or data values as (4, 2) (8, 3) (12, 7) (16, 11) (20, 13) (24, 15). 

7) Plot the above data points in the graph paper with dots.

8) Join the data points.

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