Book: RD Sharma - Mathematics
Chapter: 27. Introduction to Graphs
Subject: Maths - Class 8th
Q. No. 4 of Exercise 27.2
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The following table gives the information regarding length of a side of a square and its area
Length of a side (in cm) | 1 | 2 | 3 | 4 | 5 |
Area of square (in cm2) | 1 | 4 | 9 | 16 | 25 |
Draw a graph to illustrate this information.
Here, we take length of a side on the x-axis and area of square on the y-axis.
Let us choose the following scale:
On x-axis: 1 cm = 0.5 cm
On y-axis: 1 cm = 2 cm2
Now we plot (1,1), (2,4), (3,9), (4,16), (5,25). These points are joined to get the graph representing the given information as shown in the figure below.
Scale:
On x axis: 1cm = 0.5 cm
On y-axis: 2 cm = 1 cm2
Chapter Exercises
More Exercise Questions
The following table shows the number of patients discharged from a hospital with HIV diagnosis in different years:
Years: | 2002 | 2003 | 2004 | 2005 | 2006 |
Number of patients: | 150 | 170 | 195 | 225 | 230 |
Represent this information by a graph.
The following table shows the amount of rice grown by a farmer in different years:
Years: | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
Rice grown (in quintals): | 200 | 180 | 240 | 260 | 250 | 200 | 270 |
Plot a graph to illustrate this information.
The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work:
Number of persons: | 2 | 4 | 6 | 8 |
Time taken (in days): | 12 | 6 | 4 | 3 |
Plot a graph of this information.
The following table gives the information regarding length of a side of a square and its area
Length of a side (in cm) | 1 | 2 | 3 | 4 | 5 |
Area of square (in cm2) | 1 | 4 | 9 | 16 | 25 |
Draw a graph to illustrate this information.
The following table shows the sales of a commodity during the years 2000 to 2006.
Years | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
Sales (in lakhs of Rs.) | 1.5 | 1.8 | 2.4 | 3.2 | 5.4 | 7.8 | 8.6 |
Draw a graph of this information.
Draw the temperature-time graph in each of the following cases:
(i)
Time (in hours) | 7:00 | 9:00 | 11:00 | 13:00 | 15:00 | 17.00 | 19:00 | 21:00 |
Temperature (°F) in | 100 | 101 | 104 | 102 | 100 | 99 | 100 | 98 |
(ii)
Time (in hours) | 8:00 | 10:00 | 12:00 | 14:00 | 16:00 | 18:00 | 20:00 |
Temperature (°F) in | 100 | 101 | 104 | 103 | 99 | 98 | 100 |
Draw the velocity-time graph from the following data :
Time (in hours) | 7:00 | 8:00 | 9:00 | 10:00 | 11:00 | 12.00 | 13:00 | 14:00 |
Speed (in km/hr) | 30 | 45 | 60 | 50 | 70 | 50 | 40 | 45 |
The runs scored by a cricket team in first 15 overs are given below :
Overs : | I | II | III | IV | V | VI | VII | VIII | IX | X | XI | XII | XIII | XIV | XV |
Runs : | 2 | 1 | 4 | 2 | 6 | 8 | 10 | 21 | 5 | 8 | 3 | 2 | 6 | 8 | 12 |
The runs scored by two teams A and B in first 10 overs are given below :
Overs | I | II | III | IV | V | VI | VII | VIII | IX | X |
Team A : | 2 | 1 | 8 | 9 | 4 | 5 | 6 | 10 | 6 | 2 |
Team B : | 5 | 6 | 2 | 10 | 5 | 6 | 3 | 4 | 8 | 10 |
Draw a graph depicting the data, making the graphs on the same axes in each case in two different ways as a graph and as a bar chart.
